Least Common Multiple of 6631/860, 2509/2570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6631/860, 2509/2570 quickly i.e. 16637179/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6631/860, 2509/2570 is 16637179/10.

LCM(6631/860, 2509/2570) = 16637179/10

LCM of 6631/860, 2509/2570

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 6631/860,2509/2570

Given numbers are 6631/860,2509/2570

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 6631,2509

Least Common Multiple of Numerators i.e. LCM of 6631,2509 is 16637179.

GCF of Denominators means GCF of 860,2570 as per the given fractions.

GCF of 860,2570 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6631,2509

LCM of Fractions 6631/860,2509/2570 is 16637179/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 16637179

Least Common Multiple of 6631,2509 with GCF Formula

Least Common Multiple of 6631,2509 with GCF Formula

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 6631,2509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6631,2509) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(6631,2509) x common factors =1 x 1 = 1

LCM(6631,2509) = ( 6631 × 2509 ) / 1

LCM(6631,2509) = 16637179 / 1

LCM(6631,2509) = 16637179


Lets's calculate GCF of 860,2570

2 860, 2570
5 430, 1285
86, 257

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16637179/10

Therefore the LCM of Fractions 6631/860,2509/2570 is 16637179/10

Greatest Common Factor of 860,2570 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,2570 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 2570

List of positive integer factors of 2570 that divides 2570 without a remainder.

1,2,5,10,257,514,1285,2570

Greatest Common Factor

We found the factors 860,2570 . The biggest common factor number is the GCF number.
So the greatest common factor 860,2570 is 10.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 6631/860, 2509/2570

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 6631/860, 2509/2570?

Answer: LCM of Numerators as per given numbers 6631/860, 2509/2570 is

LCM of Numerators i.e. for 6631,2509 is 16637179

GCF of denominators i.e. for 860,2570 is 10.

Thus, LCM of Fractions is 16637179/10.Finally, LCM of Fractions for 6631/860, 2509/2570 is 16637179/10.