Least Common Multiple of 5707/645, 6004/6763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5707/645, 6004/6763 quickly i.e. 34264828 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5707/645, 6004/6763 is 34264828.

LCM(5707/645, 6004/6763) = 34264828

LCM of 5707/645, 6004/6763

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 5707/645,6004/6763

Given numbers are 5707/645,6004/6763

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 5707,6004

Least Common Multiple of Numerators i.e. LCM of 5707,6004 is 34264828.

GCF of Denominators means GCF of 645,6763 as per the given fractions.

GCF of 645,6763 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5707,6004

LCM of Fractions 5707/645,6004/6763 is 34264828

Given numbers has no common factors except 1. So, there LCM is their product i.e 34264828

Least Common Multiple of 5707,6004 with GCF Formula

Least Common Multiple of 5707,6004 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 5707,6004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5707,6004) = 1

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

GCF(5707,6004) x common factors =1 x 1 = 1

LCM(5707,6004) = ( 5707 × 6004 ) / 1

LCM(5707,6004) = 34264828 / 1

LCM(5707,6004) = 34264828


Lets's calculate GCF of 645,6763

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34264828/1

Therefore the LCM of Fractions 5707/645,6004/6763 is 34264828

Greatest Common Factor of 645,6763 By Matching Biggest Common Factor Method

Greatest Common Factor of 645,6763 By Matching Biggest Common Factor Method

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 6763

List of positive integer factors of 6763 that divides 6763 without a remainder.

1,6763

Greatest Common Factor

We found the factors 645,6763 . The biggest common factor number is the GCF number.
So the greatest common factor 645,6763 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5707/645, 6004/6763

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 5707/645, 6004/6763?

Answer: LCM of Numerators as per given numbers 5707/645, 6004/6763 is

LCM of Numerators i.e. for 5707,6004 is 34264828

GCF of denominators i.e. for 645,6763 is 1.

Thus, LCM of Fractions is 34264828.Finally, LCM of Fractions for 5707/645, 6004/6763 is 34264828.