Least Common Multiple of 28/493, 36/641, 924/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/493, 36/641, 924/279 quickly i.e. 2772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/493, 36/641, 924/279 is 2772.

LCM(28/493, 36/641, 924/279) = 2772

LCM of 28/493, 36/641, 924/279

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 28/493,36/641,924/279

Given numbers are 28/493,36/641,924/279

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 28,36,924

Least Common Multiple of Numerators i.e. LCM of 28,36,924 is 2772.

GCF of Denominators means GCF of 493,641,279 as per the given fractions.

GCF of 493,641,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,36,924

LCM of Fractions 28/493,36/641,924/279 is 2772

2 28, 36, 924
2 14, 18, 462
3 7, 9, 231
7 7, 3, 77
1, 3, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 3 x 11 = 2772

Least Common Multiple of 28,36,924 with GCF Formula

Least Common Multiple of 28,36,924 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 28,36,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,36,924) = 4

common factors(in case of two or more numbers have common factors) = 84

GCF(28,36,924) x common factors =4 x 84 = 336

LCM(28,36,924) = ( 28 × 36 × 924 ) / 336

LCM(28,36,924) = 931392 / 336

LCM(28,36,924) = 2772


Lets's calculate GCF of 493,641,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2772/1

Therefore the LCM of Fractions 28/493,36/641,924/279 is 2772

Greatest Common Factor of 493,641,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,641,279 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 493,641,279 . The biggest common factor number is the GCF number.
So the greatest common factor 493,641,279 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 28/493, 36/641, 924/279

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 28/493, 36/641, 924/279?

Answer: LCM of Numerators as per given numbers 28/493, 36/641, 924/279 is

LCM of Numerators i.e. for 28,36,924 is 2772

GCF of denominators i.e. for 493,641,279 is 1.

Thus, LCM of Fractions is 2772.Finally, LCM of Fractions for 28/493, 36/641, 924/279 is 2772.