Question

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Answer 1

$\huge\sf\green{Given:}$

Number 989 and 1892.

$\huge\sf\green{To\:Find:}$

The no.which was divided by 989 and 1892 and leaves 1 as remainder.

$\huge\sf\green{Solution:}$

Using division method to find the LCM.

$2\:\:\:| 989 , 1892$

$2\:\:\:| 989 , 946$

$11\:\:\:| 989 , 473$

$23\:\:| 989 , 43$

$43\:\:| 43 , 43$

$\:\:\:\:| 1 , 1$

So, The LCM is

$LCM(989,1892)=2\times 2\times 11\times 23\times 43=43516$

LCM(989,1892)=43516

Therefore, The LCM is 43516.

so,the no. which was divided is 43516+1=43517.

Answer 2

Answer:

To get the Least Common Multiple (LCM) of 989 and 1892 we need to factor each value first and then we choose all the factors which appear in any column and multiply them

The Least Common Multiple (LCM) is:   2 x 2 x 11 x 23 x 43 = 43516