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Find the least number that is divisible ...

Find the least number that is divisible by all the numbers between 1 and 10 (both inclusive).

A

100

B

1260

C

2520

D

5040

Text Solution

Verified by Experts

The correct Answer is:
C
Required number = LCM { 1,2,3,4,5,6,7,8,9,10} ,
= LCM : 1,2,3,`2^(2) , 5,2 xx 3, 7,2^(2) , 3^(2) , 2xx5`
`= ( 1xx 2^(3) xx 3^(2) xx 5 xx 7) = ( 8 xx 9 xx 5xx 7) = 2520`
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