Least Common Multiple of 696/860, 289/538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 696/860, 289/538 quickly i.e. 100572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 696/860, 289/538 is 100572.

LCM(696/860, 289/538) = 100572

LCM of 696/860, 289/538

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 696/860,289/538

Given numbers are 696/860,289/538

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 696,289

Least Common Multiple of Numerators i.e. LCM of 696,289 is 201144.

GCF of Denominators means GCF of 860,538 as per the given fractions.

GCF of 860,538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 696,289

LCM of Fractions 696/860,289/538 is 100572

Given numbers has no common factors except 1. So, there LCM is their product i.e 201144

Least Common Multiple of 696,289 with GCF Formula

Least Common Multiple of 696,289 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 696,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,289) = 1

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

GCF(696,289) x common factors =1 x 1 = 1

LCM(696,289) = ( 696 × 289 ) / 1

LCM(696,289) = 201144 / 1

LCM(696,289) = 201144


Lets's calculate GCF of 860,538

2 860, 538
430, 269

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 201144/2

Therefore the LCM of Fractions 696/860,289/538 is 100572

Greatest Common Factor of 860,538 By Matching Biggest Common Factor Method

Greatest Common Factor of 860,538 By Matching Biggest Common Factor Method

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Greatest Common Factor

We found the factors 860,538 . The biggest common factor number is the GCF number.
So the greatest common factor 860,538 is 2.


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 696/860, 289/538

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 696/860, 289/538?

Answer: LCM of Numerators as per given numbers 696/860, 289/538 is

LCM of Numerators i.e. for 696,289 is 201144

GCF of denominators i.e. for 860,538 is 2.

Thus, LCM of Fractions is 100572.Finally, LCM of Fractions for 696/860, 289/538 is 100572.