Hcf of two number is113 their lcm is 56952 if one number is 904 find the second number
Answers
Answer:
Highest Common Factor - the largest number that divides the given numbers completely. Its value is not zero.
Least Common multiple - the smallest number given to which the given numbers are completely divided.
Hcf = 113
Lcm = 56952
first number = 904
second number = ?
suppose second number = A
HCF X LCM = first number X second number
As question
113 X 56952 = 904 X A
A = (on the transition)
A = 7119
second number = 7119
Step-by-step explanation:
Hcf of two number is113 their lcm is 56952 if one number is 904 find the second number
HCF = Highest common Factor
LCM = Least common multiplier
HCF × LCM = Number 1 × Number 2
HCF = 113
LCM = 56952
One number = 904
Second number = to be find
second number = LCM × HCF / first number
=> second number = 56952 × 113 /904
= (56952 × 113) / (113 × 8)
cancelling 113
= 56952 / 8
= 8 × 7119 / 8
cancelling 8
= 7119
7119 is second number.