Least Common Multiple of 3/21, 74/506, 53/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/21, 74/506, 53/279 quickly i.e. 11766 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/21, 74/506, 53/279 is 11766.

LCM(3/21, 74/506, 53/279) = 11766

LCM of 3/21, 74/506, 53/279

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 3/21,74/506,53/279

Given numbers are 3/21,74/506,53/279

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 3,74,53

Least Common Multiple of Numerators i.e. LCM of 3,74,53 is 11766.

GCF of Denominators means GCF of 21,506,279 as per the given fractions.

GCF of 21,506,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,74,53

LCM of Fractions 3/21,74/506,53/279 is 11766

Given numbers has no common factors except 1. So, there LCM is their product i.e 11766

Least Common Multiple of 3,74,53 with GCF Formula

Least Common Multiple of 3,74,53 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 3,74,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,74,53) = 1

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

GCF(3,74,53) x common factors =1 x 1 = 1

LCM(3,74,53) = ( 3 × 74 × 53 ) / 1

LCM(3,74,53) = 11766 / 1

LCM(3,74,53) = 11766


Lets's calculate GCF of 21,506,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11766/1

Therefore the LCM of Fractions 3/21,74/506,53/279 is 11766

Greatest Common Factor of 21,506,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,506,279 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

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 21,506,279 . The biggest common factor number is the GCF number.
So the greatest common factor 21,506,279 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 3/21, 74/506, 53/279

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 3/21, 74/506, 53/279?

Answer: LCM of Numerators as per given numbers 3/21, 74/506, 53/279 is

LCM of Numerators i.e. for 3,74,53 is 11766

GCF of denominators i.e. for 21,506,279 is 1.

Thus, LCM of Fractions is 11766.Finally, LCM of Fractions for 3/21, 74/506, 53/279 is 11766.