Question

Find the least number when divided by 25 45 and 60 leaves a remainder of 20

Answer 1

here is your answer

Answer 2

Answer:

The least number when divided by 25 45 and 60 leaves a remainder of 20 is 920.

Step-by-step explanation:

The given numbers are 25,45,60.

The smallest number which when divided by 25,45 and 60 leaves remainder 20 is obtained by adding 7 to the L.C.M of 25,45,60.

By prime factorisation of 25

$= 5 \times 5$

Prime factorization of 45

$= 5 \times 3 \times 3$

Prime factorization of 60

$= 2 \times 2 \times 3 \times 5$

So,LCM of 25,45 and 50

$= 5 \times 5 \times 3 \times 3 \times 2 \times 2 \ \\ = 25 \times 9 \times 4 \\ = 900$

Therefore smallest number which when divided by 25,45,60 leaves same remainder 20 $= 900 + 20 = 920$