Find the smallest number that is exactly divisible by 18 , 25 and 40


Given: The numbers 18,25 and 40

To find: The smallest number that is exactly divisible by the numbers

Solution:

Find the LCM
2|18,25,40

2|9.25.20

2|9,25.10

3|9,25,5

3|3,25,5

5|1,25,5

5|1,5,1

|

Therefore LCM(18,25,40 )= 2$\times$2$\times$2$\times$2$\times$3$\times$3$\times$5$\times$5

                                              =1800
Therefore 1800 is the smallest number which is divided by 18,25 and 40

Updated on: 10-Oct-2022

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