Least Common Multiple of 87/343, 779/915, 842/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/343, 779/915, 842/683 quickly i.e. 57064866 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/343, 779/915, 842/683 is 57064866.

LCM(87/343, 779/915, 842/683) = 57064866

LCM of 87/343, 779/915, 842/683

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 87/343,779/915,842/683

Given numbers are 87/343,779/915,842/683

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 87,779,842

Least Common Multiple of Numerators i.e. LCM of 87,779,842 is 57064866.

GCF of Denominators means GCF of 343,915,683 as per the given fractions.

GCF of 343,915,683 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,779,842

LCM of Fractions 87/343,779/915,842/683 is 57064866

Given numbers has no common factors except 1. So, there LCM is their product i.e 57064866

Least Common Multiple of 87,779,842 with GCF Formula

Least Common Multiple of 87,779,842 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 87,779,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,779,842) = 1

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

GCF(87,779,842) x common factors =1 x 1 = 1

LCM(87,779,842) = ( 87 × 779 × 842 ) / 1

LCM(87,779,842) = 57064866 / 1

LCM(87,779,842) = 57064866


Lets's calculate GCF of 343,915,683

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57064866/1

Therefore the LCM of Fractions 87/343,779/915,842/683 is 57064866

Greatest Common Factor of 343,915,683 By Matching Biggest Common Factor Method

Greatest Common Factor of 343,915,683 By Matching Biggest Common Factor Method

Factors of 343

List of positive integer factors of 343 that divides 343 without a remainder.

1,7,49,343

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Greatest Common Factor

We found the factors 343,915,683 . The biggest common factor number is the GCF number.
So the greatest common factor 343,915,683 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 87/343, 779/915, 842/683

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 87/343, 779/915, 842/683?

Answer: LCM of Numerators as per given numbers 87/343, 779/915, 842/683 is

LCM of Numerators i.e. for 87,779,842 is 57064866

GCF of denominators i.e. for 343,915,683 is 1.

Thus, LCM of Fractions is 57064866.Finally, LCM of Fractions for 87/343, 779/915, 842/683 is 57064866.