Least Common Multiple of 2140/780, 6678/549

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2140/780, 6678/549 quickly i.e. 2381820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2140/780, 6678/549 is 2381820.

LCM(2140/780, 6678/549) = 2381820

LCM of 2140/780, 6678/549

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 2140/780,6678/549

Given numbers are 2140/780,6678/549

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 2140,6678

Least Common Multiple of Numerators i.e. LCM of 2140,6678 is 7145460.

GCF of Denominators means GCF of 780,549 as per the given fractions.

GCF of 780,549 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2140,6678

LCM of Fractions 2140/780,6678/549 is 2381820

2 2140, 6678
1070, 3339

∴ So the LCM of the given numbers is 2 x 1070 x 3339 = 7145460

Least Common Multiple of 2140,6678 with GCF Formula

Least Common Multiple of 2140,6678 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 2140,6678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2140,6678) = 2

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

GCF(2140,6678) x common factors =2 x 1 = 2

LCM(2140,6678) = ( 2140 × 6678 ) / 2

LCM(2140,6678) = 14290920 / 2

LCM(2140,6678) = 7145460


Lets's calculate GCF of 780,549

3 780, 549
260, 183

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7145460/3

Therefore the LCM of Fractions 2140/780,6678/549 is 2381820

Greatest Common Factor of 780,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 780,549 By Matching Biggest Common Factor Method

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 780,549 . The biggest common factor number is the GCF number.
So the greatest common factor 780,549 is 3.


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 2140/780, 6678/549

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 2140/780, 6678/549?

Answer: LCM of Numerators as per given numbers 2140/780, 6678/549 is

LCM of Numerators i.e. for 2140,6678 is 7145460

GCF of denominators i.e. for 780,549 is 3.

Thus, LCM of Fractions is 2381820.Finally, LCM of Fractions for 2140/780, 6678/549 is 2381820.