Find the LCM and HCF of 45 and 63. Verify the relation between them.
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Answer:
By prime factorisation of 45 and 63, we get,
45 = 3 x 3 x 5
63 = 3 x 3 x 7
LCM = 3² x 5 x 7
= 315
HCF = 3 x 3
= 9
We know that,
Product of two numbers = HCF of the two numbers x LCM of the two numbers
In this case,
The product of the two numbers = 45 x 63 = 2835
HCF of the two numbers x LCM of the two numbers = 9 x 315 = 2835
Thus, the relation is verified.
HOPE THIS HELPS...........
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