Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/412, 90/253, 860/988 quickly i.e. 239940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/412, 90/253, 860/988 is 239940.
LCM(31/412, 90/253, 860/988) = 239940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/412,90/253,860/988
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 31,90,860
Least Common Multiple of Numerators i.e. LCM of 31,90,860 is 239940.
GCF of Denominators means GCF of 412,253,988 as per the given fractions.
GCF of 412,253,988 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,90,860
2 | 31, 90, 860 |
5 | 31, 45, 430 |
31, 9, 86 |
∴ So the LCM of the given numbers is 2 x 5 x 31 x 9 x 86 = 239940
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 31,90,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,90,860) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(31,90,860) x common factors =1 x 10 = 10
LCM(31,90,860) = ( 31 × 90 × 860 ) / 10
LCM(31,90,860) = 2399400 / 10
LCM(31,90,860) = 239940
Lets's calculate GCF of 412,253,988
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239940/1
Therefore the LCM of Fractions 31/412,90/253,860/988 is 239940
Factors of 412
List of positive integer factors of 412 that divides 412 without a remainder.
1,2,4,103,206,412
Factors of 253
List of positive integer factors of 253 that divides 253 without a remainder.
1,11,23,253
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Greatest Common Factor
We found the factors 412,253,988 . The biggest common factor number is the GCF number.
So the greatest common factor 412,253,988 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 31/412, 90/253, 860/988?
Answer: LCM of Numerators as per given numbers 31/412, 90/253, 860/988 is
LCM of Numerators i.e. for 31,90,860 is 239940
GCF of denominators i.e. for 412,253,988 is 1.
Thus, LCM of Fractions is 239940.Finally, LCM of Fractions for 31/412, 90/253, 860/988 is 239940.