Least Common Multiple of 6977/82, 2389/581

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6977/82, 2389/581 quickly i.e. 16668053 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6977/82, 2389/581 is 16668053.

LCM(6977/82, 2389/581) = 16668053

LCM of 6977/82, 2389/581

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 6977/82,2389/581

Given numbers are 6977/82,2389/581

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 6977,2389

Least Common Multiple of Numerators i.e. LCM of 6977,2389 is 16668053.

GCF of Denominators means GCF of 82,581 as per the given fractions.

GCF of 82,581 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6977,2389

LCM of Fractions 6977/82,2389/581 is 16668053

Given numbers has no common factors except 1. So, there LCM is their product i.e 16668053

Least Common Multiple of 6977,2389 with GCF Formula

Least Common Multiple of 6977,2389 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 6977,2389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6977,2389) = 1

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

GCF(6977,2389) x common factors =1 x 1 = 1

LCM(6977,2389) = ( 6977 × 2389 ) / 1

LCM(6977,2389) = 16668053 / 1

LCM(6977,2389) = 16668053


Lets's calculate GCF of 82,581

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16668053/1

Therefore the LCM of Fractions 6977/82,2389/581 is 16668053

Greatest Common Factor of 82,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,581 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 82,581 . The biggest common factor number is the GCF number.
So the greatest common factor 82,581 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 6977/82, 2389/581

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 6977/82, 2389/581?

Answer: LCM of Numerators as per given numbers 6977/82, 2389/581 is

LCM of Numerators i.e. for 6977,2389 is 16668053

GCF of denominators i.e. for 82,581 is 1.

Thus, LCM of Fractions is 16668053.Finally, LCM of Fractions for 6977/82, 2389/581 is 16668053.