Other number
the co-primes.
Solution:
As the HCF of two co-prime numbers is 1, therefore the LCM of two co-primes is
Example 35: Verify the relation between HCF and LCM of 75 and 135.
One of the numbers
Prime factorize 75 and 135.
75 = 3 x 5 x 5 and 135 = 3 x 3 x 3 x 5
HCF of 75 and 135 = 3 x 5 = 15
LCM of 75 and 135 = 33 x 52 = 27 x 25 = 675
HCF ~ LCM = 15 x 675 = 10,125
Product of 75 x 135 = 10,125
Thus, HCF LCM = Product of the two numbers
EXERCISE 4.6
1. Find the LCM of the following numbers using the common multiple method.
(a) 5 and 9
(b) 12 and 16
(c) 36, 39 and 120
(d) 132 and 264
(e) 144, 612 and 204 (f) 32, 64, 720 an
Dind the ICMf the following numbers using the rimfoni
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