Least Common Multiple of 80/686, 61/181, 461/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/686, 61/181, 461/823 quickly i.e. 2249680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/686, 61/181, 461/823 is 2249680.

LCM(80/686, 61/181, 461/823) = 2249680

LCM of 80/686, 61/181, 461/823

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 80/686,61/181,461/823

Given numbers are 80/686,61/181,461/823

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 80,61,461

Least Common Multiple of Numerators i.e. LCM of 80,61,461 is 2249680.

GCF of Denominators means GCF of 686,181,823 as per the given fractions.

GCF of 686,181,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,61,461

LCM of Fractions 80/686,61/181,461/823 is 2249680

Given numbers has no common factors except 1. So, there LCM is their product i.e 2249680

Least Common Multiple of 80,61,461 with GCF Formula

Least Common Multiple of 80,61,461 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 80,61,461 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,61,461) = 1

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

GCF(80,61,461) x common factors =1 x 1 = 1

LCM(80,61,461) = ( 80 × 61 × 461 ) / 1

LCM(80,61,461) = 2249680 / 1

LCM(80,61,461) = 2249680


Lets's calculate GCF of 686,181,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2249680/1

Therefore the LCM of Fractions 80/686,61/181,461/823 is 2249680

Greatest Common Factor of 686,181,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,181,823 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 686,181,823 . The biggest common factor number is the GCF number.
So the greatest common factor 686,181,823 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 80/686, 61/181, 461/823

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 80/686, 61/181, 461/823?

Answer: LCM of Numerators as per given numbers 80/686, 61/181, 461/823 is

LCM of Numerators i.e. for 80,61,461 is 2249680

GCF of denominators i.e. for 686,181,823 is 1.

Thus, LCM of Fractions is 2249680.Finally, LCM of Fractions for 80/686, 61/181, 461/823 is 2249680.