Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 590/78, 637/2135 quickly i.e. 375830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 590/78, 637/2135 is 375830.
LCM(590/78, 637/2135) = 375830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 590/78,637/2135
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 590,637
Least Common Multiple of Numerators i.e. LCM of 590,637 is 375830.
GCF of Denominators means GCF of 78,2135 as per the given fractions.
GCF of 78,2135 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 590,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 375830
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 590,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(590,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(590,637) x common factors =1 x 1 = 1
LCM(590,637) = ( 590 × 637 ) / 1
LCM(590,637) = 375830 / 1
LCM(590,637) = 375830
Lets's calculate GCF of 78,2135
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375830/1
Therefore the LCM of Fractions 590/78,637/2135 is 375830
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 2135
List of positive integer factors of 2135 that divides 2135 without a remainder.
1,5,7,35,61,305,427,2135
Greatest Common Factor
We found the factors 78,2135 . The biggest common factor number is the GCF number.
So the greatest common factor 78,2135 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 590/78, 637/2135?
Answer: LCM of Numerators as per given numbers 590/78, 637/2135 is
LCM of Numerators i.e. for 590,637 is 375830
GCF of denominators i.e. for 78,2135 is 1.
Thus, LCM of Fractions is 375830.Finally, LCM of Fractions for 590/78, 637/2135 is 375830.