Least Common Multiple of 6940/690, 5462/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6940/690, 5462/331 quickly i.e. 18953140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6940/690, 5462/331 is 18953140.

LCM(6940/690, 5462/331) = 18953140

LCM of 6940/690, 5462/331

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 6940/690,5462/331

Given numbers are 6940/690,5462/331

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 6940,5462

Least Common Multiple of Numerators i.e. LCM of 6940,5462 is 18953140.

GCF of Denominators means GCF of 690,331 as per the given fractions.

GCF of 690,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6940,5462

LCM of Fractions 6940/690,5462/331 is 18953140

2 6940, 5462
3470, 2731

∴ So the LCM of the given numbers is 2 x 3470 x 2731 = 18953140

Least Common Multiple of 6940,5462 with GCF Formula

Least Common Multiple of 6940,5462 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 6940,5462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6940,5462) = 2

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

GCF(6940,5462) x common factors =2 x 1 = 2

LCM(6940,5462) = ( 6940 × 5462 ) / 2

LCM(6940,5462) = 37906280 / 2

LCM(6940,5462) = 18953140


Lets's calculate GCF of 690,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18953140/1

Therefore the LCM of Fractions 6940/690,5462/331 is 18953140

Greatest Common Factor of 690,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 690,331 By Matching Biggest Common Factor Method

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 690,331 . The biggest common factor number is the GCF number.
So the greatest common factor 690,331 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 6940/690, 5462/331

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 6940/690, 5462/331?

Answer: LCM of Numerators as per given numbers 6940/690, 5462/331 is

LCM of Numerators i.e. for 6940,5462 is 18953140

GCF of denominators i.e. for 690,331 is 1.

Thus, LCM of Fractions is 18953140.Finally, LCM of Fractions for 6940/690, 5462/331 is 18953140.