wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Find LCM of numbers 72,108 and 2100.


Open in App
Solution

Express the given numbers as the product of their prime factors to find the LCM :

Given numbers, 72,108 and 2100

72=2×2×2×3×3=23×32108=2×2×3×3×3=22×332100=2×2×3×5×5×7=22×31×52×71

LCM can be calculated as the product of the prime factors raised to their highest power

LCM=23×33×52×71

=8×27×25×7

LCM=37800

Hence the LCM of 72,108 and 2100 is 37800


flag
Suggest Corrections
thumbs-up
6
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Special Factors and Multiples
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon