Math, asked by Tejaswini1402, 5 months ago


LCM of two numbers is 42 and their product is 294.
What are the numbers if they aren't multiples of each other?

Answers

Answered by RayyanKashan
2

Answer:

14 and 21

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Step-by-step explanation:

Lcm: 42

product: 294

two numbers product = HCF × LCM

well we will find hcf

HCF= Product of two numbers ÷ LCM

HCF= 294 ÷ 42 = 7

HCF of two numbers is 7

LCM of numbers is 42.

and product of these two numbers = 294.

Well Now we find the factors of 294

and verify which pairs has hcf 7 , LCm 42 and product 294

N = No

Y = Yes

2×147 LCM (N) HCF(N)

3×98 LCM(N) HCF(N)

6×49 LCM(N) HCF(N)

  • 7×42 LCM(Y) HCF(Y) This pair has LCM,HCF and product

  • 14×21 LCM(Y) HCF(Y) This pair has LCM , HCF and product

Well According to the these pairs, the numbers are:

7 and 42

or

14 and 21

according to the question that these numbers are not multiple of each others so the pair of numbers ate

14 and 21

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