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What is the LCM of 84,120,138?
Given: 84,120,138.
To find: We have to find the LCM of 84,120,138.
Solution:
Using Prime factorisation method to calculate the LCM:
Prime factorisation of 84:
- 2 x 2 x 3 x 7 = 22 x 31 x 71
Prime factorisation of 120:
- 2 x 2 x 2 x 3 x 5 = 23 x 31 x 51
Prime factorisation of 138:
- 2 x 3 x 23 = 21 x 31 x 231
Highest power of each prime number:
- 23 , 31 , 71 , 51 , 231
Multiply these values together:
- 23 x 31 x 71 x 51 x 231 = 19320
Thus,
LCM(84,120,138) = 19320
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