Least Common Multiple of 74/821, 883/588, 139/664

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/821, 883/588, 139/664 quickly i.e. 9082538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/821, 883/588, 139/664 is 9082538.

LCM(74/821, 883/588, 139/664) = 9082538

LCM of 74/821, 883/588, 139/664

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 74/821,883/588,139/664

Given numbers are 74/821,883/588,139/664

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 74,883,139

Least Common Multiple of Numerators i.e. LCM of 74,883,139 is 9082538.

GCF of Denominators means GCF of 821,588,664 as per the given fractions.

GCF of 821,588,664 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,883,139

LCM of Fractions 74/821,883/588,139/664 is 9082538

Given numbers has no common factors except 1. So, there LCM is their product i.e 9082538

Least Common Multiple of 74,883,139 with GCF Formula

Least Common Multiple of 74,883,139 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 74,883,139 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,883,139) = 1

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

GCF(74,883,139) x common factors =1 x 1 = 1

LCM(74,883,139) = ( 74 × 883 × 139 ) / 1

LCM(74,883,139) = 9082538 / 1

LCM(74,883,139) = 9082538


Lets's calculate GCF of 821,588,664

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9082538/1

Therefore the LCM of Fractions 74/821,883/588,139/664 is 9082538

Greatest Common Factor of 821,588,664 By Matching Biggest Common Factor Method

Greatest Common Factor of 821,588,664 By Matching Biggest Common Factor Method

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Greatest Common Factor

We found the factors 821,588,664 . The biggest common factor number is the GCF number.
So the greatest common factor 821,588,664 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 74/821, 883/588, 139/664

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 74/821, 883/588, 139/664?

Answer: LCM of Numerators as per given numbers 74/821, 883/588, 139/664 is

LCM of Numerators i.e. for 74,883,139 is 9082538

GCF of denominators i.e. for 821,588,664 is 1.

Thus, LCM of Fractions is 9082538.Finally, LCM of Fractions for 74/821, 883/588, 139/664 is 9082538.