Multiples of a given number are all those numbers which can be divided completely by the given numbers.

**Let us consider the following examples.**

(i) **Multiples of 4** are 4, 8, 12, 16, 20, 24……………, etc. and each of these numbers is exactly divisible by 4.

(ii) Similarly, **multiples of 5** are 5, 10, 15, 20, 25, 30……………, etc. and each of these numbers is exactly divisible by 5.

(iii) **Multiples of 7** are 7, 14, 21, 28, 35, 42……………, etc. and each of these numbers is exactly divisible by 7.

(iv) **Multiples of 9** are 9, 18, 27, 36, 45, 54……………, etc. and each of these numbers is exactly divisible by 9.

(v) **Multiples of 12** are 12, 24, 36, 48, 60, 72……………, etc. and each of these numbers is exactly divisible by 12.

**Common Multiples.****Least Common Multiple (L.C.M).****To find Least Common Multiple by using Prime Factorization Method.****Examples to find Least Common Multiple by using Prime Factorization Method.**

**To Find Lowest Common Multiple by using Division Method**

**Examples to find Least Common Multiple of two numbers by using Division Method****Examples to find Least Common Multiple of three numbers by using Division Method**

**Relationship between H.C.F. and L.C.M.**

**Worksheet on H.C.F. and L.C.M.**

**Word problems on H.C.F. and L.C.M.**

**Worksheet on word problems on H.C.F. and L.C.M.**

**5th Grade Numbers Page**** ****5th Grade Math Problems**** ****From Multiples to HOME PAGE**

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