Least Common Multiple of 28/392, 557/744, 975/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/392, 557/744, 975/322 quickly i.e. 7603050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/392, 557/744, 975/322 is 7603050.

LCM(28/392, 557/744, 975/322) = 7603050

LCM of 28/392, 557/744, 975/322

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 28/392,557/744,975/322

Given numbers are 28/392,557/744,975/322

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 28,557,975

Least Common Multiple of Numerators i.e. LCM of 28,557,975 is 15206100.

GCF of Denominators means GCF of 392,744,322 as per the given fractions.

GCF of 392,744,322 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,557,975

LCM of Fractions 28/392,557/744,975/322 is 7603050

Given numbers has no common factors except 1. So, there LCM is their product i.e 15206100

Least Common Multiple of 28,557,975 with GCF Formula

Least Common Multiple of 28,557,975 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 28,557,975 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,557,975) = 1

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

GCF(28,557,975) x common factors =1 x 1 = 1

LCM(28,557,975) = ( 28 × 557 × 975 ) / 1

LCM(28,557,975) = 15206100 / 1

LCM(28,557,975) = 15206100


Lets's calculate GCF of 392,744,322

2 392, 744, 322
196, 372, 161

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15206100/2

Therefore the LCM of Fractions 28/392,557/744,975/322 is 7603050

Greatest Common Factor of 392,744,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 392,744,322 By Matching Biggest Common Factor Method

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 392,744,322 . The biggest common factor number is the GCF number.
So the greatest common factor 392,744,322 is 2.


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 28/392, 557/744, 975/322

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 28/392, 557/744, 975/322?

Answer: LCM of Numerators as per given numbers 28/392, 557/744, 975/322 is

LCM of Numerators i.e. for 28,557,975 is 15206100

GCF of denominators i.e. for 392,744,322 is 2.

Thus, LCM of Fractions is 7603050.Finally, LCM of Fractions for 28/392, 557/744, 975/322 is 7603050.