Example on LCM of 336 and 54

Some solved examples on lCM of 336 and 54 are,

Example 1: Find HCF and LCM of 336 and 54 by Prime Factorization.

Solution:

Factors of 336 and 54,

336 = 2 × 2 × 2 × 2 × 3 × 7

54 = 2 × 3 × 3 × 3

LCM (336, 54) = 2 × 2 × 2 × 2× 3 × 3 × 3× 7

LCM (336, 54) = 3024

Example 2: Verify Relationship between GCF and LCM of 336 and 54.

Solution:

336 = 2 × 2 × 2 × 2 × 3 × 7

54 = 2 × 3 × 3 × 3

LCM (336, 54) = 3024

GCF (336, 54) = 6

LCM(336, 54) × GCF(336, 54) = Product of 336, 54

3024 × 6 = 336 × 54

18144 = 18144 (Verified)

Example 3: For two numbers, HCF = 6 and LCM = 3024. If one number is 54, find the other number.

Solution:

Assume other number to be x

GCD × LCM = 54 × x

x = (GCD × LCM)/54

x = (6 × 3024)/54

x = 336

Therefore, other number is 336.

LCM of 336 and 54 is 3024. LCM of any two is the value that is divisible by the two given numbers. LCM stands for Least Common Multiple. It is also called Least Common Divisor (LCD). In the Least Common Multiple, a common multiple is nothing but a number which is a multiple of two or more numbers.

In this article, we will learn about LCM of 336 and 54, Definition of LCM, and How to Find LCM of 336 and 54 using various methods like Prime Factorization, Listing Multiples, Long Division Method, and others.