Question

Find the greatest 4 digit number which is exactly divisible by 8, 12 and 20.

 9560

 9960

 9460​

Answer 1

Answer:

9960

Step-by-step explanation:

Answer 2

Step-by-step explanation:

find the greatest 4 digit number which is exactly divisible by 8,12 and 20.

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greatest 4 digit number which is divisible by 8,12,20

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LCM of 8, 12, 20 =120

so , according to the question,we need a greatest 4 digit number which is exactly divisible by 120

we know that ,

greatest 4 digit number =9999

so ,

in division of 9999÷120 , 39 is leaving as remainder

so, 9999-39 = 9960

so your answer is 9960

$\sf\large\underline\purple{additional)}$$\sf\large\underline\purple{information:)}$

what is LCM?

LCM stand for least common multiple or lowest common multiple. LCM of two or more numbers is the smallest number which is exactly divisible by them .

$\sf\large\underline\purple{ex.}$ - 24 is a common multiple of 1, 2, 3, 6, 8, 12....