Question

Find the least number which when divided by 24, 36 and 60 will leave in each case the same remainder 7

Answer 1

Answer:

the number is 367

Step-by-step explanation:

first find the LCM of 24,36,60.

24 = 8*3

36 = 4*9

60 = 4*3*5

So LCM is 8*9*5 = 360

Now 360 is the smallest number which is perfectly divisble by 24, 36, 60.

And hence if we add 7 to 360 we get a number which leaves remainder 7 and is the smallest to do so = 360 +7 = 367