Least Common Multiple of 823/86, 294/1591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/86, 294/1591 quickly i.e. 241962/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/86, 294/1591 is 241962/43.

LCM(823/86, 294/1591) = 241962/43

LCM of 823/86, 294/1591

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 823/86,294/1591

Given numbers are 823/86,294/1591

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 823,294

Least Common Multiple of Numerators i.e. LCM of 823,294 is 241962.

GCF of Denominators means GCF of 86,1591 as per the given fractions.

GCF of 86,1591 is 43 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,294

LCM of Fractions 823/86,294/1591 is 241962/43

Given numbers has no common factors except 1. So, there LCM is their product i.e 241962

Least Common Multiple of 823,294 with GCF Formula

Least Common Multiple of 823,294 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 823,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,294) = 1

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

GCF(823,294) x common factors =1 x 1 = 1

LCM(823,294) = ( 823 × 294 ) / 1

LCM(823,294) = 241962 / 1

LCM(823,294) = 241962


Lets's calculate GCF of 86,1591

43 86, 1591
2, 37

∴ So the GCF of the given numbers is 43 = 43

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241962/43

Therefore the LCM of Fractions 823/86,294/1591 is 241962/43

Greatest Common Factor of 86,1591 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,1591 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 1591

List of positive integer factors of 1591 that divides 1591 without a remainder.

1,37,43,1591

Greatest Common Factor

We found the factors 86,1591 . The biggest common factor number is the GCF number.
So the greatest common factor 86,1591 is 43.


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 823/86, 294/1591

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 823/86, 294/1591?

Answer: LCM of Numerators as per given numbers 823/86, 294/1591 is

LCM of Numerators i.e. for 823,294 is 241962

GCF of denominators i.e. for 86,1591 is 43.

Thus, LCM of Fractions is 241962/43.Finally, LCM of Fractions for 823/86, 294/1591 is 241962/43.