Question

Find the smallest number which leaves 4 as remainder when divided by 44,55,66​

Answer 1

Answer:

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Answer 2

Question

Find the smallest number which leaves 4 as remainder when divided by 44,55,66.

Answer

To find:- The smallest number which leaves 4 as remainder when divided by 44,55,66.

The required number = LCM of the number+remainder

Firstly,we find their LCM.

By prime factorization:

44 = 2 × 2 × 11

55 = 5 × 11

66 = 2 × 3 × 11

LCM = 2² • 3 • 5 • 11 = 660

Therefore, the LCM is 660

Based on Q ,it leaves remainder which is 4

Therefore, (660+4)=664

★The required number is 664.

More to know

LCM stands for Lowest Common Multiple

A multiple is a number that your get when you multiply any number by a whole number (<0)

it's been in use since the 1870s