Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 10/332, 6760/5141 quickly i.e. 6760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 10/332, 6760/5141 is 6760.
LCM(10/332, 6760/5141) = 6760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 10/332,6760/5141
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 10,6760
Least Common Multiple of Numerators i.e. LCM of 10,6760 is 6760.
GCF of Denominators means GCF of 332,5141 as per the given fractions.
GCF of 332,5141 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 10,6760
2 | 10, 6760 |
5 | 5, 3380 |
1, 676 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 676 = 6760
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 10,6760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(10,6760) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(10,6760) x common factors =10 x 1 = 10
LCM(10,6760) = ( 10 × 6760 ) / 10
LCM(10,6760) = 67600 / 10
LCM(10,6760) = 6760
Lets's calculate GCF of 332,5141
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6760/1
Therefore the LCM of Fractions 10/332,6760/5141 is 6760
Factors of 332
List of positive integer factors of 332 that divides 332 without a remainder.
1,2,4,83,166,332
Factors of 5141
List of positive integer factors of 5141 that divides 5141 without a remainder.
1,53,97,5141
Greatest Common Factor
We found the factors 332,5141 . The biggest common factor number is the GCF number.
So the greatest common factor 332,5141 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 10/332, 6760/5141?
Answer: LCM of Numerators as per given numbers 10/332, 6760/5141 is
LCM of Numerators i.e. for 10,6760 is 6760
GCF of denominators i.e. for 332,5141 is 1.
Thus, LCM of Fractions is 6760.Finally, LCM of Fractions for 10/332, 6760/5141 is 6760.