1. Find the H.C.F. and L.C.M. of-
(22 x 33 x 55), (23 x 32 x 52 x 7) and (24 x 34 x 5 x 11 x 72)
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Answers
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The HCF of (22 x 33 x 55) is 11.
The LCM of (22 x 33 x 55) is 2x3x5x11 = 330.
The HCF of (23 x 32 x 52 x 7) is 1.
The LCM of (23 x 32 x 52 x 7) is 66976.
The HCF of (24 x 34 x 5 x 11 x 72) is 1.
The LCM of (24 x 34 x 5 x 11 x 72) is 67320.
Given:
(22 x 33 x 55)
(23 x 32 x 52 x 7)
(24 x 34 x 5 x 11 x 72)
To Find:
The H.C.F. and L.C.M. of given equations.
Solution:
i) (22 x 33 x 55)
22 = 2x11x1
33 = 3x11x1
55 = 5x11x1
The HCF of (22 x 33 x 55) is 11.
The LCM of (22 x 33 x 55) is 2x3x5x11 = 330.
ii) (23 x 32 x 52 x 7)
23 = 23x1
32 = 2x2x2x2x2x1
52 = 2x2x13x1
7 = 7x1
The HCF of (23 x 32 x 52 x 7) is 1.
The LCM of (23 x 32 x 52 x 7) is 66976.
iii) (24 x 34 x 5 x 11 x 72)
24 = 2x2x2x3x1
34 = 2x17x1
5 = 5x1
11 = 11x1
72 = 2x2x17x1
The HCF of (24 x 34 x 5 x 11 x 72) is 1.
The LCM of (24 x 34 x 5 x 11 x 72) is 67320.
Hence found.
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