Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 973/779, 8455/942 quickly i.e. 8226715 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 973/779, 8455/942 is 8226715.
LCM(973/779, 8455/942) = 8226715
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 973/779,8455/942
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 973,8455
Least Common Multiple of Numerators i.e. LCM of 973,8455 is 8226715.
GCF of Denominators means GCF of 779,942 as per the given fractions.
GCF of 779,942 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 973,8455
Given numbers has no common factors except 1. So, there LCM is their product i.e 8226715
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 973,8455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,8455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,8455) x common factors =1 x 1 = 1
LCM(973,8455) = ( 973 × 8455 ) / 1
LCM(973,8455) = 8226715 / 1
LCM(973,8455) = 8226715
Lets's calculate GCF of 779,942
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8226715/1
Therefore the LCM of Fractions 973/779,8455/942 is 8226715
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Greatest Common Factor
We found the factors 779,942 . The biggest common factor number is the GCF number.
So the greatest common factor 779,942 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 973/779, 8455/942?
Answer: LCM of Numerators as per given numbers 973/779, 8455/942 is
LCM of Numerators i.e. for 973,8455 is 8226715
GCF of denominators i.e. for 779,942 is 1.
Thus, LCM of Fractions is 8226715.Finally, LCM of Fractions for 973/779, 8455/942 is 8226715.