Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 871/915, 784/815, 664/748 quickly i.e. 56677712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 871/915, 784/815, 664/748 is 56677712.
LCM(871/915, 784/815, 664/748) = 56677712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 871/915,784/815,664/748
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 871,784,664
Least Common Multiple of Numerators i.e. LCM of 871,784,664 is 56677712.
GCF of Denominators means GCF of 915,815,748 as per the given fractions.
GCF of 915,815,748 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 871,784,664
2 | 871, 784, 664 |
2 | 871, 392, 332 |
2 | 871, 196, 166 |
871, 98, 83 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 871 x 98 x 83 = 56677712
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 871,784,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,784,664) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(871,784,664) x common factors =1 x 8 = 8
LCM(871,784,664) = ( 871 × 784 × 664 ) / 8
LCM(871,784,664) = 453421696 / 8
LCM(871,784,664) = 56677712
Lets's calculate GCF of 915,815,748
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56677712/1
Therefore the LCM of Fractions 871/915,784/815,664/748 is 56677712
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Factors of 815
List of positive integer factors of 815 that divides 815 without a remainder.
1,5,163,815
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Greatest Common Factor
We found the factors 915,815,748 . The biggest common factor number is the GCF number.
So the greatest common factor 915,815,748 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 871/915, 784/815, 664/748?
Answer: LCM of Numerators as per given numbers 871/915, 784/815, 664/748 is
LCM of Numerators i.e. for 871,784,664 is 56677712
GCF of denominators i.e. for 915,815,748 is 1.
Thus, LCM of Fractions is 56677712.Finally, LCM of Fractions for 871/915, 784/815, 664/748 is 56677712.