Question

Test: RAMANUJAN CALIBRE Questions: 20
TEST
Date: 2020-12-22
Subject: Mathematics
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Question 5:
If LCM and G.C.D of two numbers are and one of the numbers is 'X' then the others is
B)
D)​

Answer 1

Answer:

Given a number A and L.C.M and H.C.F. The task is to determine the other number B.

Examples:

Input: A = 10, Lcm = 10, Hcf = 50.

Output: B = 50

Input: A = 5, Lcm = 25, Hcf = 4.

Output: B = 20

Step-by-step explanation:

A * B = LCM * HCF

B = (LCM * HCF)/A

Example : A = 15, B = 12

HCF = 3, LCM = 60

We can see that 3 * 60 = 15 * 12.

Since HCF divides both the numbers, let.

A = HCF * x

B = HCF * y

Note that x and y are not common factors, so LCM must include HCF, x and y.

So we can conclude.

LCM = HCF * x * y

So LCM * HCF = HCF * x * y * HCF which is equal to A * B