Least Common Multiple of 54/567, 64/796, 343/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/567, 64/796, 343/315 quickly i.e. 592704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/567, 64/796, 343/315 is 592704.

LCM(54/567, 64/796, 343/315) = 592704

LCM of 54/567, 64/796, 343/315

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 54/567,64/796,343/315

Given numbers are 54/567,64/796,343/315

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 54,64,343

Least Common Multiple of Numerators i.e. LCM of 54,64,343 is 592704.

GCF of Denominators means GCF of 567,796,315 as per the given fractions.

GCF of 567,796,315 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,64,343

LCM of Fractions 54/567,64/796,343/315 is 592704

2 54, 64, 343
27, 32, 343

∴ So the LCM of the given numbers is 2 x 27 x 32 x 343 = 592704

Least Common Multiple of 54,64,343 with GCF Formula

Least Common Multiple of 54,64,343 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 54,64,343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,64,343) = 1

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

GCF(54,64,343) x common factors =1 x 2 = 2

LCM(54,64,343) = ( 54 × 64 × 343 ) / 2

LCM(54,64,343) = 1185408 / 2

LCM(54,64,343) = 592704


Lets's calculate GCF of 567,796,315

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 592704/1

Therefore the LCM of Fractions 54/567,64/796,343/315 is 592704

Greatest Common Factor of 567,796,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,796,315 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 567,796,315 . The biggest common factor number is the GCF number.
So the greatest common factor 567,796,315 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 54/567, 64/796, 343/315

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 54/567, 64/796, 343/315?

Answer: LCM of Numerators as per given numbers 54/567, 64/796, 343/315 is

LCM of Numerators i.e. for 54,64,343 is 592704

GCF of denominators i.e. for 567,796,315 is 1.

Thus, LCM of Fractions is 592704.Finally, LCM of Fractions for 54/567, 64/796, 343/315 is 592704.