Least Common Multiple of 310/258, 3309/2624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/258, 3309/2624 quickly i.e. 512895 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/258, 3309/2624 is 512895.

LCM(310/258, 3309/2624) = 512895

LCM of 310/258, 3309/2624

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 310/258,3309/2624

Given numbers are 310/258,3309/2624

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 310,3309

Least Common Multiple of Numerators i.e. LCM of 310,3309 is 1025790.

GCF of Denominators means GCF of 258,2624 as per the given fractions.

GCF of 258,2624 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,3309

LCM of Fractions 310/258,3309/2624 is 512895

Given numbers has no common factors except 1. So, there LCM is their product i.e 1025790

Least Common Multiple of 310,3309 with GCF Formula

Least Common Multiple of 310,3309 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 310,3309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,3309) = 1

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

GCF(310,3309) x common factors =1 x 1 = 1

LCM(310,3309) = ( 310 × 3309 ) / 1

LCM(310,3309) = 1025790 / 1

LCM(310,3309) = 1025790


Lets's calculate GCF of 258,2624

2 258, 2624
129, 1312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1025790/2

Therefore the LCM of Fractions 310/258,3309/2624 is 512895

Greatest Common Factor of 258,2624 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,2624 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 2624

List of positive integer factors of 2624 that divides 2624 without a remainder.

1,2,4,8,16,32,41,64,82,164,328,656,1312,2624

Greatest Common Factor

We found the factors 258,2624 . The biggest common factor number is the GCF number.
So the greatest common factor 258,2624 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 310/258, 3309/2624

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 310/258, 3309/2624?

Answer: LCM of Numerators as per given numbers 310/258, 3309/2624 is

LCM of Numerators i.e. for 310,3309 is 1025790

GCF of denominators i.e. for 258,2624 is 2.

Thus, LCM of Fractions is 512895.Finally, LCM of Fractions for 310/258, 3309/2624 is 512895.