Question

find the number between 700 and 800 which is divisible by 12 , 15 and 24?

Answer 1

LCM of 12,15 and 24
12= 2^2 * 3
15 = 3 * 5
24= 2^3 * 3
LCM = 8*5*3=120

So the multiple of '120' between 700 and 800 will be divisible by 12,15 and 24

When we divide 700 by 120, we obtain a remainder of '100'
Hence 720 is perfectly divisible by 120 [120*6 = 720]

So 720 is the required number.
Hope it helps

Answer 2

Answer:

720

Step by step explanation:

LCM of 12,15 and 24

12= 2^2 * 3

15 = 3 * 5

24= 2^3 * 3

LCM = 8*5*3=120

So the multiple of '120' between 700 and 800 will be divisible by 12,15 and 24

When we divide 700 by 120, we obtain a remainder of '100'

Hence 720 is perfectly divisible by 120 [120*6 = 720]

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