Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2934/982, 4010/2501 quickly i.e. 5882670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2934/982, 4010/2501 is 5882670.
LCM(2934/982, 4010/2501) = 5882670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2934/982,4010/2501
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 2934,4010
Least Common Multiple of Numerators i.e. LCM of 2934,4010 is 5882670.
GCF of Denominators means GCF of 982,2501 as per the given fractions.
GCF of 982,2501 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2934,4010
2 | 2934, 4010 |
1467, 2005 |
∴ So the LCM of the given numbers is 2 x 1467 x 2005 = 5882670
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 2934,4010 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2934,4010) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(2934,4010) x common factors =2 x 1 = 2
LCM(2934,4010) = ( 2934 × 4010 ) / 2
LCM(2934,4010) = 11765340 / 2
LCM(2934,4010) = 5882670
Lets's calculate GCF of 982,2501
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5882670/1
Therefore the LCM of Fractions 2934/982,4010/2501 is 5882670
Factors of 982
List of positive integer factors of 982 that divides 982 without a remainder.
1,2,491,982
Factors of 2501
List of positive integer factors of 2501 that divides 2501 without a remainder.
1,41,61,2501
Greatest Common Factor
We found the factors 982,2501 . The biggest common factor number is the GCF number.
So the greatest common factor 982,2501 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 2934/982, 4010/2501?
Answer: LCM of Numerators as per given numbers 2934/982, 4010/2501 is
LCM of Numerators i.e. for 2934,4010 is 5882670
GCF of denominators i.e. for 982,2501 is 1.
Thus, LCM of Fractions is 5882670.Finally, LCM of Fractions for 2934/982, 4010/2501 is 5882670.