Least Common Multiple of 2340/74, 2860/866

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2340/74, 2860/866 quickly i.e. 12870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2340/74, 2860/866 is 12870.

LCM(2340/74, 2860/866) = 12870

LCM of 2340/74, 2860/866

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 2340/74,2860/866

Given numbers are 2340/74,2860/866

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 2340,2860

Least Common Multiple of Numerators i.e. LCM of 2340,2860 is 25740.

GCF of Denominators means GCF of 74,866 as per the given fractions.

GCF of 74,866 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2340,2860

LCM of Fractions 2340/74,2860/866 is 12870

2 2340, 2860
2 1170, 1430
5 585, 715
13 117, 143
9, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 13 x 9 x 11 = 25740

Least Common Multiple of 2340,2860 with GCF Formula

Least Common Multiple of 2340,2860 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 2340,2860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2340,2860) = 260

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

GCF(2340,2860) x common factors =260 x 1 = 260

LCM(2340,2860) = ( 2340 × 2860 ) / 260

LCM(2340,2860) = 6692400 / 260

LCM(2340,2860) = 25740


Lets's calculate GCF of 74,866

2 74, 866
37, 433

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25740/2

Therefore the LCM of Fractions 2340/74,2860/866 is 12870

Greatest Common Factor of 74,866 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,866 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Greatest Common Factor

We found the factors 74,866 . The biggest common factor number is the GCF number.
So the greatest common factor 74,866 is 2.


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 2340/74, 2860/866

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 2340/74, 2860/866?

Answer: LCM of Numerators as per given numbers 2340/74, 2860/866 is

LCM of Numerators i.e. for 2340,2860 is 25740

GCF of denominators i.e. for 74,866 is 2.

Thus, LCM of Fractions is 12870.Finally, LCM of Fractions for 2340/74, 2860/866 is 12870.