Question

Noose the
option in question numbers 1 to 10.
1.
Given that HCF (156, 78) = 78, LCM (156, 78) is
(A)
156
(B
78
(C) 156 x 78
(D) 156 x 2
2.
Sides of two similar triangles are in the ratio 4
triangles are in the ratio
(A) 4:9
(B
2:3
(C)
81:16
(D)
16: 81
3​

Answer 1

Step-by-step explanation:

Option A. 156 is the LCM of the numbers.

Step-by-step explanation:

Given that HCF of 156 and 78 = 78

To find out LCM of 156 and 78 by two method.

(a) Integer numbers prime factorization : 2 × 2 × 3 × 13

LCM = 156

(b) Let the LCM of 156 and 78 be L

Product of the numbers = 156 × 78

= 12,168

Product of the numbers = HCF × LCM

12,168 = 78 × L

L = \frac{12,168}{78}

78

12,168

L = 156

Option A. 156 is the LCM of the numbers.

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