Least Common Multiple of 785/722, 5744/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 785/722, 5744/695 quickly i.e. 4509040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 785/722, 5744/695 is 4509040.

LCM(785/722, 5744/695) = 4509040

LCM of 785/722, 5744/695

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 785/722,5744/695

Given numbers are 785/722,5744/695

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 785,5744

Least Common Multiple of Numerators i.e. LCM of 785,5744 is 4509040.

GCF of Denominators means GCF of 722,695 as per the given fractions.

GCF of 722,695 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 785,5744

LCM of Fractions 785/722,5744/695 is 4509040

Given numbers has no common factors except 1. So, there LCM is their product i.e 4509040

Least Common Multiple of 785,5744 with GCF Formula

Least Common Multiple of 785,5744 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 785,5744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(785,5744) = 1

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

GCF(785,5744) x common factors =1 x 1 = 1

LCM(785,5744) = ( 785 × 5744 ) / 1

LCM(785,5744) = 4509040 / 1

LCM(785,5744) = 4509040


Lets's calculate GCF of 722,695

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4509040/1

Therefore the LCM of Fractions 785/722,5744/695 is 4509040

Greatest Common Factor of 722,695 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,695 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Greatest Common Factor

We found the factors 722,695 . The biggest common factor number is the GCF number.
So the greatest common factor 722,695 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 785/722, 5744/695

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 785/722, 5744/695?

Answer: LCM of Numerators as per given numbers 785/722, 5744/695 is

LCM of Numerators i.e. for 785,5744 is 4509040

GCF of denominators i.e. for 722,695 is 1.

Thus, LCM of Fractions is 4509040.Finally, LCM of Fractions for 785/722, 5744/695 is 4509040.