Question

11. The least number divisible by 12, 30,
36 is​

Answer 1

$The \: least \:number\:which \:is \: exactly$

$divisible \: by \:each \:given \:number \:is$

$their \: L.C. M$

$\red{Required \: number}$

2 | 12 , 30, 36

_____________

2 | 6 , 15 , 18

_____________

3 | 3 , 15 , 9

_____________

** 1 , 5 , 3

$L.C.M ( 12,30,36)$

$= 2 \times 2 \times 3 \times 5 \times 3$

$= 180$

$Hence, \red{ The \: least \:number \: divisible }$

$\red{ by \: 12, 30 \:and \:36 } \green { = 180}$

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Answer 2

The least number divisible by 12, 30,

36 is 180.

Solution :-

• Take LCM of 12,30,36 .

2 | 12 , 30 , 36

____________

2 | 6 , 15 , 18

__________

3 | 3 , 15 , 9

__________

3 | 1 , 5 , 3

__________

5 | 1 , 5 , 1

__________

| 1 , 1 , 1

.°. LCM of (12 , 30 , 36 ) = 2 × 2 × 3 × 3 × 5 .

=> LCM of ( 12 , 30 , 36 ) = 180 .