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