Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 91/375, 91/500 quickly i.e. 91/125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 91/375, 91/500 is 91/125.
LCM(91/375, 91/500) = 91/125
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 91/375,91/500
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 91,91
Least Common Multiple of Numerators i.e. LCM of 91,91 is 91.
GCF of Denominators means GCF of 375,500 as per the given fractions.
GCF of 375,500 is 125 as it is the largest common factor for these numbers.
Lets's calculate LCM of 91,91
7 | 91, 91 |
13 | 13, 13 |
1, 1 |
∴ So the LCM of the given numbers is 7 x 13 x 1 x 1 = 91
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 91,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,91) = 91
common factors(in case of two or more numbers have common factors) = 1
GCF(91,91) x common factors =91 x 1 = 91
LCM(91,91) = ( 91 × 91 ) / 91
LCM(91,91) = 8281 / 91
LCM(91,91) = 91
Lets's calculate GCF of 375,500
5 | 375, 500 |
5 | 75, 100 |
5 | 15, 20 |
3, 4 |
∴ So the GCF of the given numbers is 5 x 5 x 5 = 125
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91/125
Therefore the LCM of Fractions 91/375,91/500 is 91/125
Factors of 375
List of positive integer factors of 375 that divides 375 without a remainder.
1,3,5,15,25,75,125,375
Factors of 500
List of positive integer factors of 500 that divides 500 without a remainder.
1,2,4,5,10,20,25,50,100,125,250,500
Greatest Common Factor
We found the factors 375,500 . The biggest common factor number is the GCF number.
So the greatest common factor 375,500 is 125.
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 91/375, 91/500?
Answer: LCM of Numerators as per given numbers 91/375, 91/500 is
LCM of Numerators i.e. for 91,91 is 91
GCF of denominators i.e. for 375,500 is 125.
Thus, LCM of Fractions is 91/125.Finally, LCM of Fractions for 91/375, 91/500 is 91/125.