Math, asked by Tejaswini1402, 26 days 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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