Least Common Multiple of 809/56, 914/21, 747/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 809/56, 914/21, 747/882 quickly i.e. 552351222/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/56, 914/21, 747/882 is 552351222/7.

LCM(809/56, 914/21, 747/882) = 552351222/7

LCM of 809/56, 914/21, 747/882

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 809/56,914/21,747/882

Given numbers are 809/56,914/21,747/882

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 809,914,747

Least Common Multiple of Numerators i.e. LCM of 809,914,747 is 552351222.

GCF of Denominators means GCF of 56,21,882 as per the given fractions.

GCF of 56,21,882 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,914,747

LCM of Fractions 809/56,914/21,747/882 is 552351222/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 552351222

Least Common Multiple of 809,914,747 with GCF Formula

Least Common Multiple of 809,914,747 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 809,914,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,914,747) = 1

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

GCF(809,914,747) x common factors =1 x 1 = 1

LCM(809,914,747) = ( 809 × 914 × 747 ) / 1

LCM(809,914,747) = 552351222 / 1

LCM(809,914,747) = 552351222


Lets's calculate GCF of 56,21,882

7 56, 21, 882
8, 3, 126

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 552351222/7

Therefore the LCM of Fractions 809/56,914/21,747/882 is 552351222/7

Greatest Common Factor of 56,21,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,21,882 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 21

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

1,3,7,21

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 56,21,882 . The biggest common factor number is the GCF number.
So the greatest common factor 56,21,882 is 7.


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 809/56, 914/21, 747/882

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 809/56, 914/21, 747/882?

Answer: LCM of Numerators as per given numbers 809/56, 914/21, 747/882 is

LCM of Numerators i.e. for 809,914,747 is 552351222

GCF of denominators i.e. for 56,21,882 is 7.

Thus, LCM of Fractions is 552351222/7.Finally, LCM of Fractions for 809/56, 914/21, 747/882 is 552351222/7.