Question

Find the least number from which if 25is subtracted, the result is exactly divisible by 10,15,25,30,40and45. ​

Answer 1

Answer:

1825

Step-by-step explanation:

take LCM of 10,15,25,30,40,45

lcm will be 1800

add 25

the no. will be 1825

Answer 2

Step-by-step explanation:

At first, we will find the LCM of 10,15,25,30,40 and 45.

The prime factorisation of 10,15,25,30,40,45 are

10=2×5

15=3×5

25=5×5

30=2×3×5

40=2×2×2×5

45=3×3×5

LCM= 2×2×2×3×3×5×5 =1800

now, the required number =1800+25 =1825

so, 1825 is the samllest number from which when 25 is subttacted then result became exactly divisible by 10,15,25,30,40,45