find the numbers both smaller than 80 that have a lowest common multiple of 504 and a highest common factor of 6
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Product of Two Numbers X*Y = HCF * LCM. You see there are 4 variables Viz. X, Y, HCF and LCM. When HCF and LCM is given, we have 2 variables (X and Y) and only one equation i. e. X * Y = HCF * LCM
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How do I find the 2 numbers when their LCM and HCF are given?
If the two numbers are a and b and their LCM is x and their HCF is y then there is a rule that is a×b=x×y
Let's take an example. HCF of two numbers is 3 and LCM of those numbers is 90. Now product of HCF and LCM = 270. Is there anyway to find out those numbers? Now find the factors of 270 and verify Y is for yes and N is for no
2×135LCM(N)HCF(N)
3×90LCM(Y)HCF(Y)
5×54LCM(N)HCF(N)
6×45LCM(Y)HCF(Y)
9×30LCM(Y)HCF(Y)
10×27LCM(N)HCF(N)
15×18LCM(Y)HCF(Y)
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