Least Common Multiple of 54/828, 162/599, 560/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/828, 162/599, 560/728 quickly i.e. 45360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/828, 162/599, 560/728 is 45360.

LCM(54/828, 162/599, 560/728) = 45360

LCM of 54/828, 162/599, 560/728

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 54/828,162/599,560/728

Given numbers are 54/828,162/599,560/728

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 54,162,560

Least Common Multiple of Numerators i.e. LCM of 54,162,560 is 45360.

GCF of Denominators means GCF of 828,599,728 as per the given fractions.

GCF of 828,599,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,162,560

LCM of Fractions 54/828,162/599,560/728 is 45360

2 54, 162, 560
3 27, 81, 280
3 9, 27, 280
3 3, 9, 280
1, 3, 280

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 3 x 280 = 45360

Least Common Multiple of 54,162,560 with GCF Formula

Least Common Multiple of 54,162,560 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 54,162,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,162,560) = 2

common factors(in case of two or more numbers have common factors) = 54

GCF(54,162,560) x common factors =2 x 54 = 108

LCM(54,162,560) = ( 54 × 162 × 560 ) / 108

LCM(54,162,560) = 4898880 / 108

LCM(54,162,560) = 45360


Lets's calculate GCF of 828,599,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45360/1

Therefore the LCM of Fractions 54/828,162/599,560/728 is 45360

Greatest Common Factor of 828,599,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,599,728 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 828,599,728 . The biggest common factor number is the GCF number.
So the greatest common factor 828,599,728 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 54/828, 162/599, 560/728

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 54/828, 162/599, 560/728?

Answer: LCM of Numerators as per given numbers 54/828, 162/599, 560/728 is

LCM of Numerators i.e. for 54,162,560 is 45360

GCF of denominators i.e. for 828,599,728 is 1.

Thus, LCM of Fractions is 45360.Finally, LCM of Fractions for 54/828, 162/599, 560/728 is 45360.