LCM of the following 12,23,7,9,17,50
Answers
Answer:
LCM (8, 12) = 24
(1) 12, 15 and 21
The prime factors of the given numbers are
12 = 2 x 2 x 3 = 2² × 3¹
15 = 3 x 5 =3¹ × 5¹
21 = 3 x 7 =3¹ × 7¹
HCF of 12, 15 and 21
HCF of (12, 15 & 21) = 3
LCM of 12, 15 and 21
LCM of (12, 15 & 21) = 2² × 2¹ × 5¹ × 3¹ × 7¹
LCM of (12, 15 & 21) = 420
(2) 17, 23 and 29
The prime factors of the given numbers are
17 = 1 x 17
23 = 1 x 23
29 = 1 x 29
HCF of 17, 23 and 29
HCF of (17, 23 & 29) = 1
LCM of 17, 23 and 29
LCM of 17, 23 and 29 = 23 x 29 x 1 x 17
LCM of (17, 23 & 29) = 11339
(3) 8, 9 and 25
The prime factors of the given numbers are
8 = 2 x 2 x2
8 = 2³
9 = 3 x 3
9 = 3²
25 = 5 x 5
25 = 5²
HCF of 8, 9 and 25
HCF of (8, 9 & 25) = 1
LCM of 8, 9 and 25
LCM of (8, 9 & 25) = 2 x 2 x2 × 3 x 3 × 5 x 5
LCM of (8, 9 & 25) = 1800.
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Answer-
16,422
Step-by-step explanation:
2*3*2*23*7*3*17 is 16,422
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The number of ordered triplets `(a, b, c)` such that `L.C.M.(a, b) = 1000, L.C.M. (b,c) = 2000 and L.C.M. (c,a) = 2000`