LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

LOWEST COMMON MULTIPLICATION (LCM)

__LOWEST
COMMON MULTIPLICATION (LCM)__

__Finding LCM through
common multiplication method-__

**1) Find out the
common multiplication (LCM) of three numbers 5 , 3 ,10 through the multipliers
method**

**Ans.) Common
multiplier of 5 are – 5, 10, 15, 20, 25, 30, 35, 40, 45, 50.**

** Common multiplier of 3 are – 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.**

** Common multiplier of 10 are – 10, 20, 30,
40, 50, 60, 70, 80, 90, 100.**

**We can conclude that,
30 is the lowest (least) common multiplication of these three numbers.**

**2) Find out the
common multiplication (LCM) of three numbers 3 , 4 , 6 through the multipliers
method**

**Ans.) Common
multiplier of 3 are – 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.**

** Common multiplier of 4 are – 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.**

** Common multiplier of 6 are – 6, 12, 18, 24,
30, 36, 42, 48, 54, 60.**

**We can conclude that,
24 is the lowest (least) common multiplication of these three numbers.**

__LCM by Prime
Factorization –__

**1) Find out the Lowest
common multiplication (LCM) of three numbers 18, 24, 12 through prime
factorization.**

**Ans.)
Prime factorization of 18 = 2 x 3 x 3**

**
Prime factorization of 24 = 2 x
2 x 2 x 3**

**
Prime factorization of 12 = 2 x
2 x 3**

**So, multiplying
common factor of 2 , 3 and other remaining prime factor, we can get the LCM of
prime factorization, that is LCM = 2 x 3 x 3 x 2 x 2 x 2 =144. (Ans.)**