Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 616/995, 2959/710 quickly i.e. 165704/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 616/995, 2959/710 is 165704/5.
LCM(616/995, 2959/710) = 165704/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 616/995,2959/710
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 616,2959
Least Common Multiple of Numerators i.e. LCM of 616,2959 is 165704.
GCF of Denominators means GCF of 995,710 as per the given fractions.
GCF of 995,710 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 616,2959
11 | 616, 2959 |
56, 269 |
∴ So the LCM of the given numbers is 11 x 56 x 269 = 165704
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 616,2959 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(616,2959) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(616,2959) x common factors =11 x 1 = 11
LCM(616,2959) = ( 616 × 2959 ) / 11
LCM(616,2959) = 1822744 / 11
LCM(616,2959) = 165704
Lets's calculate GCF of 995,710
5 | 995, 710 |
199, 142 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165704/5
Therefore the LCM of Fractions 616/995,2959/710 is 165704/5
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Greatest Common Factor
We found the factors 995,710 . The biggest common factor number is the GCF number.
So the greatest common factor 995,710 is 5.
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 616/995, 2959/710?
Answer: LCM of Numerators as per given numbers 616/995, 2959/710 is
LCM of Numerators i.e. for 616,2959 is 165704
GCF of denominators i.e. for 995,710 is 5.
Thus, LCM of Fractions is 165704/5.Finally, LCM of Fractions for 616/995, 2959/710 is 165704/5.