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What is the least number that is divisib...

What is the least number that is divisible by all the numbers `1` to `10`

A

`10`

B

`100`

C

`504`

D

`2520`

Text Solution

Verified by Experts

The correct Answer is:
D
Factors of 1 to 10
1=1
`2=1xx2`
`3=1xx3`
`4=1 xx 2 xx 2`
`5=1 xx 5`
`6=1 xx 2 xx 3`
`7=1 xx 7`
`8=1 xx 2 xx 2 xx 2`
`9=1 xx 3 xx 3`
`10=1 xx 2xx 5`
`therefore` LCM of number 1 to 10 =LCM (1,2,3,4,5,6,7,8,9,10)
`=1 xx 2 xx 2 xx 2xx 3xx 3xx 5xx 7=2550`
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