LCM of 520 and 468
LCM of 520 and 468 is the smallest number among all common multiples of 520 and 468. The first few multiples of 520 and 468 are (520, 1040, 1560, 2080, 2600, 3120, . . . ) and (468, 936, 1404, 1872, 2340, . . . ) respectively. There are 3 commonly used methods to find LCM of 520 and 468  by division method, by prime factorization, and by listing multiples.
1.  LCM of 520 and 468 
2.  List of Methods 
3.  Solved Examples 
4.  FAQs 
What is the LCM of 520 and 468?
Answer: LCM of 520 and 468 is 4680.
Explanation:
The LCM of two nonzero integers, x(520) and y(468), is the smallest positive integer m(4680) that is divisible by both x(520) and y(468) without any remainder.
Methods to Find LCM of 520 and 468
Let's look at the different methods for finding the LCM of 520 and 468.
 By Division Method
 By Prime Factorization Method
 By Listing Multiples
LCM of 520 and 468 by Division Method
To calculate the LCM of 520 and 468 by the division method, we will divide the numbers(520, 468) by their prime factors (preferably common). The product of these divisors gives the LCM of 520 and 468.
 Step 1: Find the smallest prime number that is a factor of at least one of the numbers, 520 and 468. Write this prime number(2) on the left of the given numbers(520 and 468), separated as per the ladder arrangement.
 Step 2: If any of the given numbers (520, 468) is a multiple of 2, divide it by 2 and write the quotient below it. Bring down any number that is not divisible by the prime number.
 Step 3: Continue the steps until only 1s are left in the last row.
The LCM of 520 and 468 is the product of all prime numbers on the left, i.e. LCM(520, 468) by division method = 2 × 2 × 2 × 3 × 3 × 5 × 13 = 4680.
LCM of 520 and 468 by Prime Factorization
Prime factorization of 520 and 468 is (2 × 2 × 2 × 5 × 13) = 2^{3} × 5^{1} × 13^{1} and (2 × 2 × 3 × 3 × 13) = 2^{2} × 3^{2} × 13^{1} respectively. LCM of 520 and 468 can be obtained by multiplying prime factors raised to their respective highest power, i.e. 2^{3} × 3^{2} × 5^{1} × 13^{1} = 4680.
Hence, the LCM of 520 and 468 by prime factorization is 4680.
LCM of 520 and 468 by Listing Multiples
To calculate the LCM of 520 and 468 by listing out the common multiples, we can follow the given below steps:
 Step 1: List a few multiples of 520 (520, 1040, 1560, 2080, 2600, 3120, . . . ) and 468 (468, 936, 1404, 1872, 2340, . . . . )
 Step 2: The common multiples from the multiples of 520 and 468 are 4680, 9360, . . .
 Step 3: The smallest common multiple of 520 and 468 is 4680.
∴ The least common multiple of 520 and 468 = 4680.
☛ Also Check:
 LCM of 2, 3 and 5  30
 LCM of 15 and 20  60
 LCM of 2, 5 and 7  70
 LCM of 3, 4 and 7  84
 LCM of 16 and 64  64
 LCM of 18 and 36  36
 LCM of 7 and 17  119
LCM of 520 and 468 Examples

Example 1: The product of two numbers is 243360. If their GCD is 52, what is their LCM?
Solution:
Given: GCD = 52
product of numbers = 243360
∵ LCM × GCD = product of numbers
⇒ LCM = Product/GCD = 243360/52
Therefore, the LCM is 4680.
The probable combination for the given case is LCM(520, 468) = 4680. 
Example 2: Find the smallest number that is divisible by 520 and 468 exactly.
Solution:
The smallest number that is divisible by 520 and 468 exactly is their LCM.
⇒ Multiples of 520 and 468: Multiples of 520 = 520, 1040, 1560, 2080, 2600, 3120, 3640, 4160, 4680, . . . .
 Multiples of 468 = 468, 936, 1404, 1872, 2340, 2808, 3276, 3744, 4212, 4680, . . . .
Therefore, the LCM of 520 and 468 is 4680.

Example 3: The GCD and LCM of two numbers are 52 and 4680 respectively. If one number is 468, find the other number.
Solution:
Let the other number be m.
∵ GCD × LCM = 468 × m
⇒ m = (GCD × LCM)/468
⇒ m = (52 × 4680)/468
⇒ m = 520
Therefore, the other number is 520.
FAQs on LCM of 520 and 468
What is the LCM of 520 and 468?
The LCM of 520 and 468 is 4680. To find the least common multiple of 520 and 468, we need to find the multiples of 520 and 468 (multiples of 520 = 520, 1040, 1560, 2080 . . . . 4680; multiples of 468 = 468, 936, 1404, 1872 . . . . 4680) and choose the smallest multiple that is exactly divisible by 520 and 468, i.e., 4680.
What are the Methods to Find LCM of 520 and 468?
The commonly used methods to find the LCM of 520 and 468 are:
 Listing Multiples
 Prime Factorization Method
 Division Method
If the LCM of 468 and 520 is 4680, Find its GCF.
LCM(468, 520) × GCF(468, 520) = 468 × 520
Since the LCM of 468 and 520 = 4680
⇒ 4680 × GCF(468, 520) = 243360
Therefore, the greatest common factor (GCF) = 243360/4680 = 52.
What is the Least Perfect Square Divisible by 520 and 468?
The least number divisible by 520 and 468 = LCM(520, 468)
LCM of 520 and 468 = 2 × 2 × 2 × 3 × 3 × 5 × 13 [Incomplete pair(s): 2, 5, 13]
⇒ Least perfect square divisible by each 520 and 468 = LCM(520, 468) × 2 × 5 × 13 = 608400 [Square root of 608400 = √608400 = ±780]
Therefore, 608400 is the required number.
Which of the following is the LCM of 520 and 468? 15, 20, 4680, 11
The value of LCM of 520, 468 is the smallest common multiple of 520 and 468. The number satisfying the given condition is 4680.
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