Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 124/59, 484/7860 quickly i.e. 15004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 124/59, 484/7860 is 15004.
LCM(124/59, 484/7860) = 15004
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 124/59,484/7860
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 124,484
Least Common Multiple of Numerators i.e. LCM of 124,484 is 15004.
GCF of Denominators means GCF of 59,7860 as per the given fractions.
GCF of 59,7860 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 124,484
2 | 124, 484 |
2 | 62, 242 |
31, 121 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 121 = 15004
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 124,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,484) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(124,484) x common factors =4 x 1 = 4
LCM(124,484) = ( 124 × 484 ) / 4
LCM(124,484) = 60016 / 4
LCM(124,484) = 15004
Lets's calculate GCF of 59,7860
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15004/1
Therefore the LCM of Fractions 124/59,484/7860 is 15004
Factors of 59
List of positive integer factors of 59 that divides 59 without a remainder.
1,59
Factors of 7860
List of positive integer factors of 7860 that divides 7860 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60,131,262,393,524,655,786,1310,1572,1965,2620,3930,7860
Greatest Common Factor
We found the factors 59,7860 . The biggest common factor number is the GCF number.
So the greatest common factor 59,7860 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 124/59, 484/7860?
Answer: LCM of Numerators as per given numbers 124/59, 484/7860 is
LCM of Numerators i.e. for 124,484 is 15004
GCF of denominators i.e. for 59,7860 is 1.
Thus, LCM of Fractions is 15004.Finally, LCM of Fractions for 124/59, 484/7860 is 15004.