Question

find the lcm of 72,36 and 88 by prime factorization method​

Answer 1

AnswEr:

$\boxed{\boxed{\sf{LCM\:of\:36,\:72\:and\:88\:is\:792}}}$

ExplanaTion:

Prime factorisation of 72 :

2 | 72

2 | 36

2 | 18

3 | 9

3 | 3

⠀| 1

★ 72 = 2 × 2 × 2 × 3 × 3

$\rule{200}2$

Prime factorisation of 36 :

2 | 36

2 | 18

3 | 9

3 | 3

⠀| 1

★ 36 = 2 × 2 × 3 × 3

$\rule{200}2$

Prime factorisation of 88 :

2 | 88

2 | 44

2 | 22

11 | 11

⠀| 1

88 = 2 × 2 × 2 × 11

Least common factor ( LCM ) = 2 × 2 × 2 × 3 × 3 × 11

: $\implies$ LCM = 792

$\therefore$ $\boxed{\boxed{\sf{LCM\:of\:36,\:72\:and\:88\:is\:792}}}$

Answer 2

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