LEARN MATH STEP BY STEP THROUGH VERY EASY PROCESS

LCM - COMMON MULTIPLE METHOD

__LEAST COMMON MULTIPLE (LCM) -__

**A common multiple
is a number that is a multiple of two or more numbers.**

**The
LEAST COMMON MULTIPLE
(L.C.M) of two or more numbers is the smallest number that is a multiple
of the given set of numbers.**

**1.) COMMON MULTIPLE METHOD OR LISTING METHOD : -**

**In this method,**

**§ STEP 1.) First we find the multiples (i.e. write the tables) of the given numbers separately.**

**§ STEP 2.) Then we underline the common multiples
of the numbers and write it down.**

**§ STEP 3.) We select the smallest
common multiple amongst
the common multiples.**

**§ STEP 4.) The smallest common multiple
is the L.C.M of the given numbers.**

**SOLVED EXAMPLE 1:**

**Find the L.C.M of 6, 8 and 12 using the listing
method (common multiple
method).**

**SOLUTION :-**

**§
6, 8 and 12**

__STEP 1.)__** Write the tables up to 12 times.**

**Multiples of 6 are 6, 12, 18, 24 , 30, 36, 42, 48, 54, 60, 66, 72.**

**Multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.**

**Multiples of 12 are 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144.**

__STEP 2.)__ Color Red and write the common multiples
of 6, 8 and 12.

**Common multiples are 24, 48, 72.**

__STEP 3.)__ Color Blue the smallest common multiple. This is the L.C.M

**∴The L.C.M is 24.**

**Answer : The L.C.M
of 6, 8 and 12 is 24. (Ans.)**

**PLEASE NOTE
:-**

**§
In case we get one
common multiple only, we have to find more multiples i.e. write the tables more say up to 15 times.**

**§
The
L.C.M of two or more numbers is their smallest
common multiple.**