Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8951/736, 9567/659 quickly i.e. 85634217 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8951/736, 9567/659 is 85634217.
LCM(8951/736, 9567/659) = 85634217
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8951/736,9567/659
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 8951,9567
Least Common Multiple of Numerators i.e. LCM of 8951,9567 is 85634217.
GCF of Denominators means GCF of 736,659 as per the given fractions.
GCF of 736,659 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8951,9567
Given numbers has no common factors except 1. So, there LCM is their product i.e 85634217
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 8951,9567 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8951,9567) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8951,9567) x common factors =1 x 1 = 1
LCM(8951,9567) = ( 8951 × 9567 ) / 1
LCM(8951,9567) = 85634217 / 1
LCM(8951,9567) = 85634217
Lets's calculate GCF of 736,659
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85634217/1
Therefore the LCM of Fractions 8951/736,9567/659 is 85634217
Factors of 736
List of positive integer factors of 736 that divides 736 without a remainder.
1,2,4,8,16,23,32,46,92,184,368,736
Factors of 659
List of positive integer factors of 659 that divides 659 without a remainder.
1,659
Greatest Common Factor
We found the factors 736,659 . The biggest common factor number is the GCF number.
So the greatest common factor 736,659 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 8951/736, 9567/659?
Answer: LCM of Numerators as per given numbers 8951/736, 9567/659 is
LCM of Numerators i.e. for 8951,9567 is 85634217
GCF of denominators i.e. for 736,659 is 1.
Thus, LCM of Fractions is 85634217.Finally, LCM of Fractions for 8951/736, 9567/659 is 85634217.