Question

what is the least no. which when divided by 12 18,36,45 leaves remainder 8,14,32,41 respectively​

Answer 1

Answer:

12=2*2*3,18=2*3*3,36=2*2*3*3,45=3*3*5 so lcm of all these numbers us =2*2*3*3*5=180. So that number is 180–4=176.

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Answer 2

Answer:

The least number which when divided by 12,18,36,45 leaves 8,14,32,41 remainder respectively is 176.

Step-by-step explanation:

Let us say that the number is x.

If the number is divided by 12 it leaves a remainder of 8

If the number is divided by 18 it leaves a remainder of 14

If  the number is divided by 36 it leaves a remainder of 32

If the number is divided by 45 it leaves a remainder of 41

We observe that:12-8=4, 18-14=4, 36-32=4, 45-41=4

The required number should be=LCM(12,18,36,45)-4

LCM(12,18,36,45)=180

The required number is= 180-4=176