Can two numbers have 16 as their HCF and 380 as their as their LCM? Give reason.
Answers
Answered by
49
HCF(Highest Common Factor) of two or more numbers = Product of the smallest Power of each common prime factor involved in the numbers.]
LCM of two or more numbers = product of the greatest power of each prime factor involved in the numbers, with highest power.
SOLUTION :
GIVEN : HCF of two numbers = 16 & LCM of two numbers = 380
On dividing 380 by 16 , we get quotient as 23 and 12 as the remainder.
Here, LCM is not exactly divisible by the HCF.
Hence, two number cannot have 16 as their HCF and 380 as their LCM.
HOPE THIS ANSWER WILL HELP YOU...
Answered by
11
hey mate here is your answer
The HCF of two numbers must be a factor of the LCM . In the above question it is possible if 18 is a factor of 380.But it is not a factor of 380. so it is not possible to have two numbers whose hCF is18 and LCM is 380.
hope this helps you
The HCF of two numbers must be a factor of the LCM . In the above question it is possible if 18 is a factor of 380.But it is not a factor of 380. so it is not possible to have two numbers whose hCF is18 and LCM is 380.
hope this helps you
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