Math, asked by omprakash050199, 2 months ago

find the least number which when increased by 3 is divisible by 36 40 and 64​

Answers

Answered by star20052007
2

To find the least number which when increased by 3 is divisible by 36 40 and 64 we have to find the LCM

Prime Factorisation of Numbers

36 = 2 \times 2 \times 3 \times 3

40 = 2 \times 2 \times 2 \times 5

64 = 2 \times 2 \times 2 \times 2 \times 2 \times 2

LCM OF 36,40,&64 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5

2880 is the number which is already increased by 3.

So the required number is 28803 = 2877

2877 is the least number divisible by 36,40,64

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Answered by babyangel75
1

Answer:

So, 2880 is the number which is already increased by 3. Hence, 2877 is the least number which when increased by 3 is divisible by 36, 40 and 64.

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