Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2656/101, 2441/9156 quickly i.e. 6483296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2656/101, 2441/9156 is 6483296.
LCM(2656/101, 2441/9156) = 6483296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2656/101,2441/9156
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 2656,2441
Least Common Multiple of Numerators i.e. LCM of 2656,2441 is 6483296.
GCF of Denominators means GCF of 101,9156 as per the given fractions.
GCF of 101,9156 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2656,2441
Given numbers has no common factors except 1. So, there LCM is their product i.e 6483296
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 2656,2441 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2656,2441) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2656,2441) x common factors =1 x 1 = 1
LCM(2656,2441) = ( 2656 × 2441 ) / 1
LCM(2656,2441) = 6483296 / 1
LCM(2656,2441) = 6483296
Lets's calculate GCF of 101,9156
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6483296/1
Therefore the LCM of Fractions 2656/101,2441/9156 is 6483296
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Factors of 9156
List of positive integer factors of 9156 that divides 9156 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84,109,218,327,436,654,763,1308,1526,2289,3052,4578,9156
Greatest Common Factor
We found the factors 101,9156 . The biggest common factor number is the GCF number.
So the greatest common factor 101,9156 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 2656/101, 2441/9156?
Answer: LCM of Numerators as per given numbers 2656/101, 2441/9156 is
LCM of Numerators i.e. for 2656,2441 is 6483296
GCF of denominators i.e. for 101,9156 is 1.
Thus, LCM of Fractions is 6483296.Finally, LCM of Fractions for 2656/101, 2441/9156 is 6483296.