Least Common Multiple of 28/712, 697/91, 494/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/712, 697/91, 494/561 quickly i.e. 4820452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/712, 697/91, 494/561 is 4820452.

LCM(28/712, 697/91, 494/561) = 4820452

LCM of 28/712, 697/91, 494/561

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 28/712,697/91,494/561

Given numbers are 28/712,697/91,494/561

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 28,697,494

Least Common Multiple of Numerators i.e. LCM of 28,697,494 is 4820452.

GCF of Denominators means GCF of 712,91,561 as per the given fractions.

GCF of 712,91,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,697,494

LCM of Fractions 28/712,697/91,494/561 is 4820452

2 28, 697, 494
14, 697, 247

∴ So the LCM of the given numbers is 2 x 14 x 697 x 247 = 4820452

Least Common Multiple of 28,697,494 with GCF Formula

Least Common Multiple of 28,697,494 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 28,697,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,697,494) = 1

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

GCF(28,697,494) x common factors =1 x 2 = 2

LCM(28,697,494) = ( 28 × 697 × 494 ) / 2

LCM(28,697,494) = 9640904 / 2

LCM(28,697,494) = 4820452


Lets's calculate GCF of 712,91,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4820452/1

Therefore the LCM of Fractions 28/712,697/91,494/561 is 4820452

Greatest Common Factor of 712,91,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,91,561 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 712,91,561 . The biggest common factor number is the GCF number.
So the greatest common factor 712,91,561 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 28/712, 697/91, 494/561

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 28/712, 697/91, 494/561?

Answer: LCM of Numerators as per given numbers 28/712, 697/91, 494/561 is

LCM of Numerators i.e. for 28,697,494 is 4820452

GCF of denominators i.e. for 712,91,561 is 1.

Thus, LCM of Fractions is 4820452.Finally, LCM of Fractions for 28/712, 697/91, 494/561 is 4820452.