Least Common Multiple of 2302/689, 4323/858

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2302/689, 4323/858 quickly i.e. 9951546/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2302/689, 4323/858 is 9951546/13.

LCM(2302/689, 4323/858) = 9951546/13

LCM of 2302/689, 4323/858

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 2302/689,4323/858

Given numbers are 2302/689,4323/858

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 2302,4323

Least Common Multiple of Numerators i.e. LCM of 2302,4323 is 9951546.

GCF of Denominators means GCF of 689,858 as per the given fractions.

GCF of 689,858 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2302,4323

LCM of Fractions 2302/689,4323/858 is 9951546/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 9951546

Least Common Multiple of 2302,4323 with GCF Formula

Least Common Multiple of 2302,4323 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 2302,4323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2302,4323) = 1

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

GCF(2302,4323) x common factors =1 x 1 = 1

LCM(2302,4323) = ( 2302 × 4323 ) / 1

LCM(2302,4323) = 9951546 / 1

LCM(2302,4323) = 9951546


Lets's calculate GCF of 689,858

13 689, 858
53, 66

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9951546/13

Therefore the LCM of Fractions 2302/689,4323/858 is 9951546/13

Greatest Common Factor of 689,858 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,858 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 858

List of positive integer factors of 858 that divides 858 without a remainder.

1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858

Greatest Common Factor

We found the factors 689,858 . The biggest common factor number is the GCF number.
So the greatest common factor 689,858 is 13.


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 2302/689, 4323/858

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 2302/689, 4323/858?

Answer: LCM of Numerators as per given numbers 2302/689, 4323/858 is

LCM of Numerators i.e. for 2302,4323 is 9951546

GCF of denominators i.e. for 689,858 is 13.

Thus, LCM of Fractions is 9951546/13.Finally, LCM of Fractions for 2302/689, 4323/858 is 9951546/13.