Question

Find the greatest number of four digit which is exactly divisible by 40 48 and 60

Answer 1

Answer:

lets find the lcm of 40 48 and 60 first

lcm is given by

40 = 2.2.2.5

48 = 2.2.2.2.3

60 = 2.2.3.5

Hence LCM is given by 2.2.2.2.3.5 = 240

also the greatest four digit number is 9999

as 9999 is not divisible by 240, the number which is divisible will be a multiple of 240 less than 9999. which is given by 9999/240 = 41.6625, hence 240×41 = 9840

Step-by-step explanation:

lcm is the number that is multiple of all three numbers.

and the number which will be divisible of all three will be multiples of lcm.