Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/124, 893/421, 961/123 quickly i.e. 82384608 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/124, 893/421, 961/123 is 82384608.
LCM(96/124, 893/421, 961/123) = 82384608
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/124,893/421,961/123
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 96,893,961
Least Common Multiple of Numerators i.e. LCM of 96,893,961 is 82384608.
GCF of Denominators means GCF of 124,421,123 as per the given fractions.
GCF of 124,421,123 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,893,961
Given numbers has no common factors except 1. So, there LCM is their product i.e 82384608
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 96,893,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,893,961) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,893,961) x common factors =1 x 1 = 1
LCM(96,893,961) = ( 96 × 893 × 961 ) / 1
LCM(96,893,961) = 82384608 / 1
LCM(96,893,961) = 82384608
Lets's calculate GCF of 124,421,123
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82384608/1
Therefore the LCM of Fractions 96/124,893/421,961/123 is 82384608
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 421
List of positive integer factors of 421 that divides 421 without a remainder.
1,421
Factors of 123
List of positive integer factors of 123 that divides 123 without a remainder.
1,3,41,123
Greatest Common Factor
We found the factors 124,421,123 . The biggest common factor number is the GCF number.
So the greatest common factor 124,421,123 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 96/124, 893/421, 961/123?
Answer: LCM of Numerators as per given numbers 96/124, 893/421, 961/123 is
LCM of Numerators i.e. for 96,893,961 is 82384608
GCF of denominators i.e. for 124,421,123 is 1.
Thus, LCM of Fractions is 82384608.Finally, LCM of Fractions for 96/124, 893/421, 961/123 is 82384608.