Question

Find the 4-digit smallest number which when divided by 12, 15, 25, 30 leaves no remainder?

Answer 1

Answer:

$\green { 1200}$

Step-by-step explanation:

$Find \: LCM \: of \: 12,15,25,30$

5 | 12 , 15, 25, 30

_____________

3 | 12 , 3 , 5 , 6

_____________

2 | 4 , 1 , 5 , 2

_____________

** 2 , 1 , 5 , 1

LCM(12,15,25,30) = 5×3×2×2×5 = 300

Multiples of 300 = { 300,600, 900,1200,1800,...}

Now ,

the 4-digit smallest number which when divided by 12, 15, 25, 30 leaves no remainder is 1200

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