1. Find the LCM of the following numbers in which one number is the factor of the other.
(a) 5.20 (b) 6.18 (c) 12. 48 (d) 9.45
What do you observe in the results obtained?
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(a)2 × 2 × 5 = 20.
(b)The LCM of 6 and 18 is 18.
(c)4
(d)The LCM of 9 and 45 is 45.
Yes, it can be observed that in case, the LCM of the given numbers is the larger number. When one number is a factor of the other number, their LCM will be the larger number.
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Answer:
(a) L.C.M of 5 and 20
= 2 – 2 – 5 = 20
(b) L.C.M of 6 and 18
= 2 – 3 – 3 = 18
(c) L.C.M of 12 and 48
= 2 – 2 – 2 – 2 – 3 = 48
(d) L.C.M of 9 and 45
= 3 – 3 – 5 = 45
From these all cases, we can conclude that if the smallest number of the largest number is the largest number, then the L.C.M. of these two numbers is equal product of the largest number.
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