What is the LCM of 4, 9, and 10?
LCM of 4, 9, and 10 is the smallest number which divides three of them exactly without leaving a remainder.
Answer: LCM of 4, 9, and 10 is 180
For 4, 9, and 10, the smallest number that is perfectly divisible by all of them is their LCM.
Let us see how to calculate it below:
Least Common Multiple of 4, 9, and 10 is the smallest number that will completely divide them.
LCM of 4, 9, and 10 using Common Division Method
In this method, we divide 4, 9 and 10 concurrently with prime numbers until we don't have a prime number to divide them further. Product of the prime numbers used in dividing 4,9 and 10 is their LCM
LCM of 4, 9, and 10 by using Prime factorization:
In this method, we write all the given numbers as the product of its prime factors and then multiply the common and uncommon factors to get the LCM.
Prime factorization of 4=2×2= 22
Prime factorization of 9=3×3= 32, and
Prime factorization of 10 =5×2
The prime factors 2 and 3 occur twice and prime factor 5 occur once in the prime factorization.
So, the product of all these prime factors is the LCM of 4, 9, and 10, which is 22 ×32 ×5 = 180.