Least Common Multiple of 3940/643, 7140/5506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3940/643, 7140/5506 quickly i.e. 1406580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3940/643, 7140/5506 is 1406580.

LCM(3940/643, 7140/5506) = 1406580

LCM of 3940/643, 7140/5506

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 3940/643,7140/5506

Given numbers are 3940/643,7140/5506

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 3940,7140

Least Common Multiple of Numerators i.e. LCM of 3940,7140 is 1406580.

GCF of Denominators means GCF of 643,5506 as per the given fractions.

GCF of 643,5506 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3940,7140

LCM of Fractions 3940/643,7140/5506 is 1406580

2 3940, 7140
2 1970, 3570
5 985, 1785
197, 357

∴ So the LCM of the given numbers is 2 x 2 x 5 x 197 x 357 = 1406580

Least Common Multiple of 3940,7140 with GCF Formula

Least Common Multiple of 3940,7140 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 3940,7140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3940,7140) = 20

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

GCF(3940,7140) x common factors =20 x 1 = 20

LCM(3940,7140) = ( 3940 × 7140 ) / 20

LCM(3940,7140) = 28131600 / 20

LCM(3940,7140) = 1406580


Lets's calculate GCF of 643,5506

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1406580/1

Therefore the LCM of Fractions 3940/643,7140/5506 is 1406580

Greatest Common Factor of 643,5506 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,5506 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 5506

List of positive integer factors of 5506 that divides 5506 without a remainder.

1,2,2753,5506

Greatest Common Factor

We found the factors 643,5506 . The biggest common factor number is the GCF number.
So the greatest common factor 643,5506 is 1.


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 3940/643, 7140/5506

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 3940/643, 7140/5506?

Answer: LCM of Numerators as per given numbers 3940/643, 7140/5506 is

LCM of Numerators i.e. for 3940,7140 is 1406580

GCF of denominators i.e. for 643,5506 is 1.

Thus, LCM of Fractions is 1406580.Finally, LCM of Fractions for 3940/643, 7140/5506 is 1406580.