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The highest common factor of two numbers is 12, while lcm is 1260, both numbers are less than 200, find the two numbers
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The highest common factor of two numbers is 12, while lcm is 1260, both numbers are less than 200, find the two numbers
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Mathematics
3 years
2021-07-25T19:00:27+00:00
2021-07-25T19:00:27+00:00 1 Answers
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Answer:
The two numbers are 12 and 30
Step-by-step explanation:
It is given that both the numbers are greater than 6
Let the two numbers be X and Y
As we know
X * Y = LCM * HCF
XY = 360
Let us list down some combinations of X and Y and test above conditions
There can be following pairs
a) 6,60
b) 18,20
c) 24,15
d) 12,30
LCM of the two numbers is 60 and both the numbers are greater than 6
So only 12, 30 satisfy the set condition.