Question

Find the least number which is exactly divisible by 36,40,45,50 (please explain in detail , i will mark you as brainliest )​

Answer 1

Answer:The given numbers are 36, 40, 45,50

To do :

We have to find the smallest 4 digit number that is exactly divisible by 36, 40, and 45

Solution :

The smallest 4 digit number which is divisible by 36, 40, and 45 will be a multiple of their LCM.

Therefore,

LCM of 36,40 and 45 is,

36=2.2.3.3[. means multiply]

40=2.2.2.5

45=3.3.5

like this write 50 =-------- [do it]

LCM of 36, 40 and 45  

Required smallest 4 digit number which is divisible by 36, 40, and 45 is a multiple of 360.

Multiples of 360 are 360, 720, 1080,...

The smallest 4 digit number that is exactly divisible by 36,40 and 45 is 1080.

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