answersLogoWhite

0

How do you find the LCM of 6 11?

User Avatar

Anonymous

9y ago
Updated: 8/19/2019

Step 1: Find the HCF of 6 and 11.

There are many ways of finding HCF but method of prime factorization is much better.

In this method we express the numbers as the product of primes.

6 = 2 x 3

11 = 11

11 can't be factored into prime numbers because it is a Prime number.

Nothing is common in the prime factorization of 6 and 11 so, HCF(6,11) = 1.

Step 2: Find the product of 6 and 11.

6 x 11 = 66.

Step 3: Divide the result obtained in step 2 by the HCF(6,11). The result is the LCM.

LCM(6,11) = 66/1 = 66.

Alternate method:

List the multiples of 6 and 11.

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66,...120, 126, 132,...

Multiples of 11: 11, 22, 33, 44, 55, 66, 77, 88, 99, 110, 121, 132,...

66 is the smallest common multiple. So, LCM(6,11) = 66.

User Avatar

Wiki User

13y ago

What else can I help you with?