Least Common Multiple of 5667/782, 6692/5279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5667/782, 6692/5279 quickly i.e. 37923564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5667/782, 6692/5279 is 37923564.

LCM(5667/782, 6692/5279) = 37923564

LCM of 5667/782, 6692/5279

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 5667/782,6692/5279

Given numbers are 5667/782,6692/5279

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 5667,6692

Least Common Multiple of Numerators i.e. LCM of 5667,6692 is 37923564.

GCF of Denominators means GCF of 782,5279 as per the given fractions.

GCF of 782,5279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5667,6692

LCM of Fractions 5667/782,6692/5279 is 37923564

Given numbers has no common factors except 1. So, there LCM is their product i.e 37923564

Least Common Multiple of 5667,6692 with GCF Formula

Least Common Multiple of 5667,6692 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 5667,6692 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5667,6692) = 1

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

GCF(5667,6692) x common factors =1 x 1 = 1

LCM(5667,6692) = ( 5667 × 6692 ) / 1

LCM(5667,6692) = 37923564 / 1

LCM(5667,6692) = 37923564


Lets's calculate GCF of 782,5279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37923564/1

Therefore the LCM of Fractions 5667/782,6692/5279 is 37923564

Greatest Common Factor of 782,5279 By Matching Biggest Common Factor Method

Greatest Common Factor of 782,5279 By Matching Biggest Common Factor Method

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Factors of 5279

List of positive integer factors of 5279 that divides 5279 without a remainder.

1,5279

Greatest Common Factor

We found the factors 782,5279 . The biggest common factor number is the GCF number.
So the greatest common factor 782,5279 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 5667/782, 6692/5279

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 5667/782, 6692/5279?

Answer: LCM of Numerators as per given numbers 5667/782, 6692/5279 is

LCM of Numerators i.e. for 5667,6692 is 37923564

GCF of denominators i.e. for 782,5279 is 1.

Thus, LCM of Fractions is 37923564.Finally, LCM of Fractions for 5667/782, 6692/5279 is 37923564.