What is the LCM of 207 and 138?
The LCM (Least Common Multiple) of 207 and 138 is the least number which is exactly divisible by all the numbers 207 and 138.
Answer: LCM of 207 and 138 is 414
We will explain two methods to find the LCM of 207 and 138.
The two methods that we are using to find the LCM of 207 and 138 are shown below.
- Least Common Multiple of 207 and 138 by Listing Method
- Least Common Multiple of 207 and 138 by Common Division Method
Method1: LCM of 207 and 138 by Listing Method
The multiples of 207 and 138 are:
Here, 414 is the least common multiple of 207 and 138 from this list. So, LCM (207, 138) = 414
Method2: LCM of 207 and 138 by Common Division Method
Follow the steps mentioned below to find the LCM( 207, 138) by the common division method.
Step 1: Write the numbers 207 and 138 horizontally by separating them with a comma.
Step 2: Choose the smallest prime number that divides at least any one of them.
Step 3: Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring them down directly.
Step 4: We will stop it when we don't have a prime number to divide the given numbers.
Step 5: Least common multiple of 207 and 138 will be the product of primes by which we have divided.
The answer to LCM of 207 and 138 is the same, irrespective of the methods used.