Least Common Multiple of 84/891, 179/489, 706/310

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/891, 179/489, 706/310 quickly i.e. 5307708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/891, 179/489, 706/310 is 5307708.

LCM(84/891, 179/489, 706/310) = 5307708

LCM of 84/891, 179/489, 706/310

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 84/891,179/489,706/310

Given numbers are 84/891,179/489,706/310

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 84,179,706

Least Common Multiple of Numerators i.e. LCM of 84,179,706 is 5307708.

GCF of Denominators means GCF of 891,489,310 as per the given fractions.

GCF of 891,489,310 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,179,706

LCM of Fractions 84/891,179/489,706/310 is 5307708

2 84, 179, 706
42, 179, 353

∴ So the LCM of the given numbers is 2 x 42 x 179 x 353 = 5307708

Least Common Multiple of 84,179,706 with GCF Formula

Least Common Multiple of 84,179,706 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 84,179,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,179,706) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(84,179,706) x common factors =1 x 2 = 2

LCM(84,179,706) = ( 84 × 179 × 706 ) / 2

LCM(84,179,706) = 10615416 / 2

LCM(84,179,706) = 5307708


Lets's calculate GCF of 891,489,310

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5307708/1

Therefore the LCM of Fractions 84/891,179/489,706/310 is 5307708

Greatest Common Factor of 891,489,310 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,489,310 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Factors of 310

List of positive integer factors of 310 that divides 310 without a remainder.

1,2,5,10,31,62,155,310

Greatest Common Factor

We found the factors 891,489,310 . The biggest common factor number is the GCF number.
So the greatest common factor 891,489,310 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 84/891, 179/489, 706/310

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 84/891, 179/489, 706/310?

Answer: LCM of Numerators as per given numbers 84/891, 179/489, 706/310 is

LCM of Numerators i.e. for 84,179,706 is 5307708

GCF of denominators i.e. for 891,489,310 is 1.

Thus, LCM of Fractions is 5307708.Finally, LCM of Fractions for 84/891, 179/489, 706/310 is 5307708.