Least Common Multiple of 546/139, 316/580, 728/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 546/139, 316/580, 728/854 quickly i.e. 172536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 546/139, 316/580, 728/854 is 172536.

LCM(546/139, 316/580, 728/854) = 172536

LCM of 546/139, 316/580, 728/854

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 546/139,316/580,728/854

Given numbers are 546/139,316/580,728/854

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 546,316,728

Least Common Multiple of Numerators i.e. LCM of 546,316,728 is 172536.

GCF of Denominators means GCF of 139,580,854 as per the given fractions.

GCF of 139,580,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 546,316,728

LCM of Fractions 546/139,316/580,728/854 is 172536

2 546, 316, 728
2 273, 158, 364
7 273, 79, 182
13 39, 79, 26
3, 79, 2

∴ So the LCM of the given numbers is 2 x 2 x 7 x 13 x 3 x 79 x 2 = 172536

Least Common Multiple of 546,316,728 with GCF Formula

Least Common Multiple of 546,316,728 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 546,316,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,316,728) = 2

common factors(in case of two or more numbers have common factors) = 364

GCF(546,316,728) x common factors =2 x 364 = 728

LCM(546,316,728) = ( 546 × 316 × 728 ) / 728

LCM(546,316,728) = 125606208 / 728

LCM(546,316,728) = 172536


Lets's calculate GCF of 139,580,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172536/1

Therefore the LCM of Fractions 546/139,316/580,728/854 is 172536

Greatest Common Factor of 139,580,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 139,580,854 By Matching Biggest Common Factor Method

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 139,580,854 . The biggest common factor number is the GCF number.
So the greatest common factor 139,580,854 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 546/139, 316/580, 728/854

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 546/139, 316/580, 728/854?

Answer: LCM of Numerators as per given numbers 546/139, 316/580, 728/854 is

LCM of Numerators i.e. for 546,316,728 is 172536

GCF of denominators i.e. for 139,580,854 is 1.

Thus, LCM of Fractions is 172536.Finally, LCM of Fractions for 546/139, 316/580, 728/854 is 172536.