Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/72, 249/96, 871/957 quickly i.e. 722930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/72, 249/96, 871/957 is 722930.
LCM(130/72, 249/96, 871/957) = 722930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/72,249/96,871/957
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 130,249,871
Least Common Multiple of Numerators i.e. LCM of 130,249,871 is 2168790.
GCF of Denominators means GCF of 72,96,957 as per the given fractions.
GCF of 72,96,957 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,249,871
13 | 130, 249, 871 |
10, 249, 67 |
∴ So the LCM of the given numbers is 13 x 10 x 249 x 67 = 2168790
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 130,249,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,249,871) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(130,249,871) x common factors =1 x 13 = 13
LCM(130,249,871) = ( 130 × 249 × 871 ) / 13
LCM(130,249,871) = 28194270 / 13
LCM(130,249,871) = 2168790
Lets's calculate GCF of 72,96,957
3 | 72, 96, 957 |
24, 32, 319 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2168790/3
Therefore the LCM of Fractions 130/72,249/96,871/957 is 722930
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 957
List of positive integer factors of 957 that divides 957 without a remainder.
1,3,11,29,33,87,319,957
Greatest Common Factor
We found the factors 72,96,957 . The biggest common factor number is the GCF number.
So the greatest common factor 72,96,957 is 3.
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 130/72, 249/96, 871/957?
Answer: LCM of Numerators as per given numbers 130/72, 249/96, 871/957 is
LCM of Numerators i.e. for 130,249,871 is 2168790
GCF of denominators i.e. for 72,96,957 is 3.
Thus, LCM of Fractions is 722930.Finally, LCM of Fractions for 130/72, 249/96, 871/957 is 722930.