Math, asked by JaswinderBehl, 1 year ago

smallest number divisible by 15,20,24,32,36

Answers

Answered by neelimashorewala
41
the smallest no. divisible by any two or more numbers is the L.C.M. of all those numbers.
therefore, taking the LCM of 15,20,24,32,and 36 
2*2*2*2*2*3*3*5*5= 7200
so 7200 is the required number.

JaswinderBehl: lcm of 15,20,24,32,36 is 2*2*3*2*5*4*3=1440 and 1440 is divisible by all
JaswinderBehl: hence answer is 1440
neelimashorewala: yeah you are right.....made a calculation mistake
Answered by mindfulmaisel
25

Lowest common multiple of 15, 20, 24, 32, 36 is 1440.

To find:  

“Smallest number” divisible by 15, 20, 24, 32, 36.

Solution:

To find the least number divisible by ‘15, 20, 24, 32 & 36’, we have to find L.C.M. of the given numbers.

The “smallest positive number” that is a “multiple of two or more numbers”.  

L.C.M of ‘15, 20, 24, 32 & 36’ is derived in below attached image.

Hence, L.C.M. \bold{=2 \times 2 \times 2 \times 3 \times 5 \times 4 \times 3=1440}.

Attachments:
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