Least Common Multiple of 9509/681, 8310/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9509/681, 8310/258 quickly i.e. 26339930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9509/681, 8310/258 is 26339930.

LCM(9509/681, 8310/258) = 26339930

LCM of 9509/681, 8310/258

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 9509/681,8310/258

Given numbers are 9509/681,8310/258

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 9509,8310

Least Common Multiple of Numerators i.e. LCM of 9509,8310 is 79019790.

GCF of Denominators means GCF of 681,258 as per the given fractions.

GCF of 681,258 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9509,8310

LCM of Fractions 9509/681,8310/258 is 26339930

Given numbers has no common factors except 1. So, there LCM is their product i.e 79019790

Least Common Multiple of 9509,8310 with GCF Formula

Least Common Multiple of 9509,8310 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 9509,8310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9509,8310) = 1

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

GCF(9509,8310) x common factors =1 x 1 = 1

LCM(9509,8310) = ( 9509 × 8310 ) / 1

LCM(9509,8310) = 79019790 / 1

LCM(9509,8310) = 79019790


Lets's calculate GCF of 681,258

3 681, 258
227, 86

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79019790/3

Therefore the LCM of Fractions 9509/681,8310/258 is 26339930

Greatest Common Factor of 681,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,258 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 258

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

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

Greatest Common Factor

We found the factors 681,258 . The biggest common factor number is the GCF number.
So the greatest common factor 681,258 is 3.


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 9509/681, 8310/258

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 9509/681, 8310/258?

Answer: LCM of Numerators as per given numbers 9509/681, 8310/258 is

LCM of Numerators i.e. for 9509,8310 is 79019790

GCF of denominators i.e. for 681,258 is 3.

Thus, LCM of Fractions is 26339930.Finally, LCM of Fractions for 9509/681, 8310/258 is 26339930.