Least Common Multiple of 28/611, 96/357, 994/563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/611, 96/357, 994/563 quickly i.e. 47712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/611, 96/357, 994/563 is 47712.

LCM(28/611, 96/357, 994/563) = 47712

LCM of 28/611, 96/357, 994/563

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 28/611,96/357,994/563

Given numbers are 28/611,96/357,994/563

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 28,96,994

Least Common Multiple of Numerators i.e. LCM of 28,96,994 is 47712.

GCF of Denominators means GCF of 611,357,563 as per the given fractions.

GCF of 611,357,563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,96,994

LCM of Fractions 28/611,96/357,994/563 is 47712

2 28, 96, 994
2 14, 48, 497
7 7, 24, 497
1, 24, 71

∴ So the LCM of the given numbers is 2 x 2 x 7 x 1 x 24 x 71 = 47712

Least Common Multiple of 28,96,994 with GCF Formula

Least Common Multiple of 28,96,994 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 28,96,994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,96,994) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(28,96,994) x common factors =2 x 28 = 56

LCM(28,96,994) = ( 28 × 96 × 994 ) / 56

LCM(28,96,994) = 2671872 / 56

LCM(28,96,994) = 47712


Lets's calculate GCF of 611,357,563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47712/1

Therefore the LCM of Fractions 28/611,96/357,994/563 is 47712

Greatest Common Factor of 611,357,563 By Matching Biggest Common Factor Method

Greatest Common Factor of 611,357,563 By Matching Biggest Common Factor Method

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 563

List of positive integer factors of 563 that divides 563 without a remainder.

1,563

Greatest Common Factor

We found the factors 611,357,563 . The biggest common factor number is the GCF number.
So the greatest common factor 611,357,563 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 28/611, 96/357, 994/563

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 28/611, 96/357, 994/563?

Answer: LCM of Numerators as per given numbers 28/611, 96/357, 994/563 is

LCM of Numerators i.e. for 28,96,994 is 47712

GCF of denominators i.e. for 611,357,563 is 1.

Thus, LCM of Fractions is 47712.Finally, LCM of Fractions for 28/611, 96/357, 994/563 is 47712.