Least Common Multiple of 687/84, 803/29, 978/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/84, 803/29, 978/369 quickly i.e. 179841486 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/84, 803/29, 978/369 is 179841486.

LCM(687/84, 803/29, 978/369) = 179841486

LCM of 687/84, 803/29, 978/369

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 687/84,803/29,978/369

Given numbers are 687/84,803/29,978/369

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 687,803,978

Least Common Multiple of Numerators i.e. LCM of 687,803,978 is 179841486.

GCF of Denominators means GCF of 84,29,369 as per the given fractions.

GCF of 84,29,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,803,978

LCM of Fractions 687/84,803/29,978/369 is 179841486

3 687, 803, 978
229, 803, 326

∴ So the LCM of the given numbers is 3 x 229 x 803 x 326 = 179841486

Least Common Multiple of 687,803,978 with GCF Formula

Least Common Multiple of 687,803,978 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 687,803,978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,803,978) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(687,803,978) x common factors =1 x 3 = 3

LCM(687,803,978) = ( 687 × 803 × 978 ) / 3

LCM(687,803,978) = 539524458 / 3

LCM(687,803,978) = 179841486


Lets's calculate GCF of 84,29,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179841486/1

Therefore the LCM of Fractions 687/84,803/29,978/369 is 179841486

Greatest Common Factor of 84,29,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,29,369 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 84,29,369 . The biggest common factor number is the GCF number.
So the greatest common factor 84,29,369 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 687/84, 803/29, 978/369

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 687/84, 803/29, 978/369?

Answer: LCM of Numerators as per given numbers 687/84, 803/29, 978/369 is

LCM of Numerators i.e. for 687,803,978 is 179841486

GCF of denominators i.e. for 84,29,369 is 1.

Thus, LCM of Fractions is 179841486.Finally, LCM of Fractions for 687/84, 803/29, 978/369 is 179841486.