Asked by Beln
When will the Lcm of two Number be the product of the number .
Answers
Answered by
mathhelper
When the two numbers have no common factor.
e.g. 1/7 + 1/9, needs a LCM of 63
but , 1/35 + 1/84, needs a LCM of 420
in general, the LCM of two numbers = (their product) รท (their HCF)
so in the last example: 35*84/7 = 420, where 7 was the HCF of 35 and 84
another e.g.
60 and 24
60 = 2*2*3*5
24 = 2*2*2*3 , the HCF = 12
LCM = 60*24/12 = 120
e.g. 1/7 + 1/9, needs a LCM of 63
but , 1/35 + 1/84, needs a LCM of 420
in general, the LCM of two numbers = (their product) รท (their HCF)
so in the last example: 35*84/7 = 420, where 7 was the HCF of 35 and 84
another e.g.
60 and 24
60 = 2*2*3*5
24 = 2*2*2*3 , the HCF = 12
LCM = 60*24/12 = 120
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