58. P is the LCM of 2, 4, 6, 8, 10, Q is the LCM of
1, 3, 5, 7, 9 and L is the LCM of P and Q. Then,
which of the following is true?
(a) L = 21P (b) L = 40
(c) L=63P (d) L= 16Q
Answers
Answered by
40
Answer: a) L= 21P
Step-by-step explanation:
P is the LCM of 2,4,6,8,10
Prime factor of 2 = 2
Prime factor of 4 = 2 x 2
Prime factor of 6 = 2 x 3
Prime factor of 8 = 2 x 2 x 2
Prime factor of 10 = 2 x 5
Therefore P =2 x 2 x 3 x 2 x 5 = 2³ x 3 x 5 = 120
Q is LCM of 1,3,5,7,9
Prime factor of 1 = 1
Prime factor of 3 = 3
Prime factor of 5 =5
Prime factor of 7 = 7
Prime factor of 9 = 3 x 3
Therefore Q= 3 x 3 x 5 x 7 = 3² x 5 x 7 =315
L is the LCM of P and Q = 2³ x 3² x 5 x 7 = 2520
2520 = 21 x 120 ⇒ L = 21 P
Hence , L =21P
Answered by
6
Answer:
(a) L = 21P answer
Step-by-step explanation:
P is the LCM of 2,4,6,8,10
P=3(8)(5)
Q is the LCM of 1,3,5,7,9
Q=5(7)(9)
L is the LCM of P, Q.
Therefore,
L= 5(7)(9)8,i.e, 8Q.
L=3(8)(5)21 i.e., 21P
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