Question

Find the LCM of the given sets of
numbers by prime factorisation
method.
(i) 12,28
(ii) 20,30
(iii) 8, 12, 18 (iv) 60, 72, 80
(v) 15, 30, 75 (vi) 360, 480, 600​

Answer 1

Given : (i) 12,28  , (ii) 20,30 , (iii) 8, 12, 18 (iv) 60, 72, 80  , (v) 15, 30, 75 (vi) 360, 480, 600​

To find :  LCM using prime factorization

Solution:

LCM - Least Common Multiplier

12 = 2 * 2 * 3

28 = 2 * 2 * 7

LCM = 2 * 2 * 3 * 7  = 84

20 = 2 * 2 * 5

30 = 2 * 3 * 5

LCM = 2 * 2 * 3 * 5  = 60

8  = 2 * 2 * 2

12 = 2 * 2 * 3

18 = 2 * 3 * 3

LCM = 2 * 2 * 2 * 3 * 3  = 72

60 = 2 * 2 * 3 * 5

72 = 2 * 2 * 2 * 3 * 3

80 = 2 * 2 * 2 * 2 * 5

LCM = 2 * 2 * 2 * 2 * 3 * 3 * 5  = 720

15 = 3 * 5

30 = 2 * 3 * 6

75 = 3 * 5 * 5

LCM = 2 * 3 * 5 * 5  = 150

360 , 480 , 600

360 = 2 * 2 * 2 * 3 * 3 * 5

480 = 2 * 2 * 2 * 2 * 2 * 3 * 5

600 = 2 * 2 * 2 * 3 * 5 * 5

LCM = 2 * 2 * 2 * 2 * 2 * 3 * 3 * 5 * 5

= 7200

Learn more:

the LCM of three prime numbers are 4991 find the greatest number ...

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Answer 2

Step-by-step explanation:

12,28

= lcm of 12

= lcm of 28

lcm 2×2×3×7= 84