The GCF of two numbers is 3 and the lcm is 180 if one of the number is 45 what is the other number

2 answers

Since:

GCF(a,b) ∙ LCM(a,b) = a ∙ b

a = 45

3 ∙ 180 = 45 ∙ b

540 = 45 b

b = 540 / 45 = 12
180 = 45*4 = 3^2 * 4 * 5
LCM(12,45) = 180
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