Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 131/78, 676/12, 889/917 quickly i.e. 78726284 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 131/78, 676/12, 889/917 is 78726284.
LCM(131/78, 676/12, 889/917) = 78726284
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 131/78,676/12,889/917
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 131,676,889
Least Common Multiple of Numerators i.e. LCM of 131,676,889 is 78726284.
GCF of Denominators means GCF of 78,12,917 as per the given fractions.
GCF of 78,12,917 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 131,676,889
Given numbers has no common factors except 1. So, there LCM is their product i.e 78726284
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 131,676,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,676,889) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,676,889) x common factors =1 x 1 = 1
LCM(131,676,889) = ( 131 × 676 × 889 ) / 1
LCM(131,676,889) = 78726284 / 1
LCM(131,676,889) = 78726284
Lets's calculate GCF of 78,12,917
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78726284/1
Therefore the LCM of Fractions 131/78,676/12,889/917 is 78726284
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 917
List of positive integer factors of 917 that divides 917 without a remainder.
1,7,131,917
Greatest Common Factor
We found the factors 78,12,917 . The biggest common factor number is the GCF number.
So the greatest common factor 78,12,917 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 131/78, 676/12, 889/917?
Answer: LCM of Numerators as per given numbers 131/78, 676/12, 889/917 is
LCM of Numerators i.e. for 131,676,889 is 78726284
GCF of denominators i.e. for 78,12,917 is 1.
Thus, LCM of Fractions is 78726284.Finally, LCM of Fractions for 131/78, 676/12, 889/917 is 78726284.