Least Common Multiple of 21/477, 51/367, 716/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/477, 51/367, 716/133 quickly i.e. 255612 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/477, 51/367, 716/133 is 255612.

LCM(21/477, 51/367, 716/133) = 255612

LCM of 21/477, 51/367, 716/133

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 21/477,51/367,716/133

Given numbers are 21/477,51/367,716/133

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 21,51,716

Least Common Multiple of Numerators i.e. LCM of 21,51,716 is 255612.

GCF of Denominators means GCF of 477,367,133 as per the given fractions.

GCF of 477,367,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,51,716

LCM of Fractions 21/477,51/367,716/133 is 255612

3 21, 51, 716
7, 17, 716

∴ So the LCM of the given numbers is 3 x 7 x 17 x 716 = 255612

Least Common Multiple of 21,51,716 with GCF Formula

Least Common Multiple of 21,51,716 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 21,51,716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,51,716) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(21,51,716) x common factors =1 x 3 = 3

LCM(21,51,716) = ( 21 × 51 × 716 ) / 3

LCM(21,51,716) = 766836 / 3

LCM(21,51,716) = 255612


Lets's calculate GCF of 477,367,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255612/1

Therefore the LCM of Fractions 21/477,51/367,716/133 is 255612

Greatest Common Factor of 477,367,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 477,367,133 By Matching Biggest Common Factor Method

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 477,367,133 . The biggest common factor number is the GCF number.
So the greatest common factor 477,367,133 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 21/477, 51/367, 716/133

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 21/477, 51/367, 716/133?

Answer: LCM of Numerators as per given numbers 21/477, 51/367, 716/133 is

LCM of Numerators i.e. for 21,51,716 is 255612

GCF of denominators i.e. for 477,367,133 is 1.

Thus, LCM of Fractions is 255612.Finally, LCM of Fractions for 21/477, 51/367, 716/133 is 255612.