Question
The GCF of two numbers is 3 and the lcm is 180 if one of the number is 45 what is the other number
Answers
Bosnian
Since:
GCF(a,b) ∙ LCM(a,b) = a ∙ b
a = 45
3 ∙ 180 = 45 ∙ b
540 = 45 b
b = 540 / 45 = 12
GCF(a,b) ∙ LCM(a,b) = a ∙ b
a = 45
3 ∙ 180 = 45 ∙ b
540 = 45 b
b = 540 / 45 = 12
oobleck
180 = 45*4 = 3^2 * 4 * 5
LCM(12,45) = 180
LCM(12,45) = 180