Least Common Multiple of 76/427, 87/556, 823/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/427, 87/556, 823/473 quickly i.e. 5441676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/427, 87/556, 823/473 is 5441676.

LCM(76/427, 87/556, 823/473) = 5441676

LCM of 76/427, 87/556, 823/473

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 76/427,87/556,823/473

Given numbers are 76/427,87/556,823/473

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 76,87,823

Least Common Multiple of Numerators i.e. LCM of 76,87,823 is 5441676.

GCF of Denominators means GCF of 427,556,473 as per the given fractions.

GCF of 427,556,473 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,87,823

LCM of Fractions 76/427,87/556,823/473 is 5441676

Given numbers has no common factors except 1. So, there LCM is their product i.e 5441676

Least Common Multiple of 76,87,823 with GCF Formula

Least Common Multiple of 76,87,823 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 76,87,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,87,823) = 1

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

GCF(76,87,823) x common factors =1 x 1 = 1

LCM(76,87,823) = ( 76 × 87 × 823 ) / 1

LCM(76,87,823) = 5441676 / 1

LCM(76,87,823) = 5441676


Lets's calculate GCF of 427,556,473

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5441676/1

Therefore the LCM of Fractions 76/427,87/556,823/473 is 5441676

Greatest Common Factor of 427,556,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,556,473 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 427,556,473 . The biggest common factor number is the GCF number.
So the greatest common factor 427,556,473 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 76/427, 87/556, 823/473

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 76/427, 87/556, 823/473?

Answer: LCM of Numerators as per given numbers 76/427, 87/556, 823/473 is

LCM of Numerators i.e. for 76,87,823 is 5441676

GCF of denominators i.e. for 427,556,473 is 1.

Thus, LCM of Fractions is 5441676.Finally, LCM of Fractions for 76/427, 87/556, 823/473 is 5441676.