what is the difference between the LCM and HCF of the number 20,30 and 40?
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What is the difference between lcm and HCF of 20 30 40?
The least common multiple is the smallest number which is exactly divisible by the given numbers, that is leaving a remainder 0 on division.
Prime factorisation of 20 = 2 x 2 x 5
Prime factorisation of 30 = 2 x 3 x 5
Prime factorisation of 40 = 2 x 2 x 2 x 5
LCM = 2 x 2 x 2 x 5 x 3 = 120
Hcf of 20 30 40
⇒ factors of 20 =1,2,4,5, 10, 20
⇒ factors of 30 = 1, 2, 3, 5, 6, 10 , 15, 30
⇒ factors of 50 = 1, 2, 5, 10, 25, 50
HCF =10
Difference = LCM – HCF = 120 -10 =110
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