. Find the LCM of the following numbers: (a) 9 and 4 (b) 12 and 5 c) 6 and 5 (d) 15 and 4 Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?
Answers
Answer:
Find the LCM of the following numbers: (a) 9 and 4 (b) 12 and 5 c) 6 and 5 (d) 15 and 4 Observe a common property in the obtained LCMs. Is LCM the product of two numbers in each case?
Step-by-step explanation:
ANSWER:-
2|4,9
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Answer:
Yes
Step-by-step explanation:
LCM
(a) 9 and 4
Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40
Common Multiple = 36 , 9*4 = 36
(b) 12 and 5
Multiples of 12 = 12, 24, 36, 48, 60, 72, 84, 96, 108, 120
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60
Common Multiple = 60 , 12*5 = 60
(c) 6 and 5
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 54, 60
Multiples of 5 = 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
Common Multiple = 30 , 6*5 = 30
(d) 15 and 4
Multiples of 15 = 15, 30, 45, 60, 75, 90, 105, 120, 135, 150
Multiples of 4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60
Common Multiple = 60 , 15*4 = 60
The common property is that the LCM is product of two numbers in each case.