Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/916, 9121/2580 quickly i.e. 127694/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/916, 9121/2580 is 127694/4.
LCM(98/916, 9121/2580) = 127694/4
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/916,9121/2580
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 98,9121
Least Common Multiple of Numerators i.e. LCM of 98,9121 is 127694.
GCF of Denominators means GCF of 916,2580 as per the given fractions.
GCF of 916,2580 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,9121
7 | 98, 9121 |
14, 1303 |
∴ So the LCM of the given numbers is 7 x 14 x 1303 = 127694
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 98,9121 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,9121) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(98,9121) x common factors =7 x 1 = 7
LCM(98,9121) = ( 98 × 9121 ) / 7
LCM(98,9121) = 893858 / 7
LCM(98,9121) = 127694
Lets's calculate GCF of 916,2580
2 | 916, 2580 |
2 | 458, 1290 |
229, 645 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127694/4
Therefore the LCM of Fractions 98/916,9121/2580 is 127694/4
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 2580
List of positive integer factors of 2580 that divides 2580 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,43,60,86,129,172,215,258,430,516,645,860,1290,2580
Greatest Common Factor
We found the factors 916,2580 . The biggest common factor number is the GCF number.
So the greatest common factor 916,2580 is 4.
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 98/916, 9121/2580?
Answer: LCM of Numerators as per given numbers 98/916, 9121/2580 is
LCM of Numerators i.e. for 98,9121 is 127694
GCF of denominators i.e. for 916,2580 is 4.
Thus, LCM of Fractions is 127694/4.Finally, LCM of Fractions for 98/916, 9121/2580 is 127694/4.