Question

find the smallest number which is divisible by 105 91 and 130

Answer 1

2!105,91,130
——————-
3!105,91,65
———————
5! 35,91,65
———————
7! 7,91,13
——————-
13! 1,13,13
—————-
!1,1,1
Lcm=2*3*5*7*13=2730
The smallest no will be 2730

Answer 2

Given that,

The numbers are 105, 91 and 130

We need to find the prime factor of 105, 91 and 130

Using method of factorization

$105=3, 5, 7$

$91=7, 13$

$130=2, 5, 13$

We need to find the smallest number

Using formula of LCM

$LCM=2\times3\times5\times7\times13$

[tex]LCM=2730 [/tex]

Hence, The smallest number is 2730.