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

We will solve different types of problems given in the Worksheet on H.C.F. and L.C.M.

I. Find highest common factor of the following by complete factorisation:

(i) 48, 56, 72

(ii) 198, 360

(iii) 102, 68, 136

(iv) 1024, 576

(v) 405, 783, 513

II. Find the H.C.F. by long division method:

(i) 84, 144

(ii) 120, 168

(iii) 430, 516, 817

(iv) 632, 790, 869

(v) 291, 582, 776

(vi) 219, 1321, 2320, 8526

III. Find lowest common multiple of the following numbers:

(i) 16, 24, 40

(ii) 40, 56, 60

(iii) 207, 138

(iv) 72, 96, 120

(v) 120, 150, 135

(vi) 102, 170, 136

Answers for the highest common factor (H.C.F.) and lowest common multiple (L.C.M.) are given below.

Answers:

I. (i) 8

(ii) 18

(iii) 34

(iv) 64

(v) 27

II. (i) 12

(ii) 24

(iii) 43

(iv) 79

(v) 97

(vi) 1

III. (i) 240

(ii) 840

(iii) 414

(iv) 1440

(v) 5400

(vi) 2040

● Multiples.

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 Math Problems 

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