Least Common Multiple of 856/89, 309/1303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 856/89, 309/1303 quickly i.e. 264504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 856/89, 309/1303 is 264504.

LCM(856/89, 309/1303) = 264504

LCM of 856/89, 309/1303

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 856/89,309/1303

Given numbers are 856/89,309/1303

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 856,309

Least Common Multiple of Numerators i.e. LCM of 856,309 is 264504.

GCF of Denominators means GCF of 89,1303 as per the given fractions.

GCF of 89,1303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 856,309

LCM of Fractions 856/89,309/1303 is 264504

Given numbers has no common factors except 1. So, there LCM is their product i.e 264504

Least Common Multiple of 856,309 with GCF Formula

Least Common Multiple of 856,309 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 856,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(856,309) = 1

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

GCF(856,309) x common factors =1 x 1 = 1

LCM(856,309) = ( 856 × 309 ) / 1

LCM(856,309) = 264504 / 1

LCM(856,309) = 264504


Lets's calculate GCF of 89,1303

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264504/1

Therefore the LCM of Fractions 856/89,309/1303 is 264504

Greatest Common Factor of 89,1303 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,1303 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 1303

List of positive integer factors of 1303 that divides 1303 without a remainder.

1,1303

Greatest Common Factor

We found the factors 89,1303 . The biggest common factor number is the GCF number.
So the greatest common factor 89,1303 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 856/89, 309/1303

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 856/89, 309/1303?

Answer: LCM of Numerators as per given numbers 856/89, 309/1303 is

LCM of Numerators i.e. for 856,309 is 264504

GCF of denominators i.e. for 89,1303 is 1.

Thus, LCM of Fractions is 264504.Finally, LCM of Fractions for 856/89, 309/1303 is 264504.