Least Common Multiple of 9208/431, 7764/8261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9208/431, 7764/8261 quickly i.e. 17872728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9208/431, 7764/8261 is 17872728.

LCM(9208/431, 7764/8261) = 17872728

LCM of 9208/431, 7764/8261

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 9208/431,7764/8261

Given numbers are 9208/431,7764/8261

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 9208,7764

Least Common Multiple of Numerators i.e. LCM of 9208,7764 is 17872728.

GCF of Denominators means GCF of 431,8261 as per the given fractions.

GCF of 431,8261 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9208,7764

LCM of Fractions 9208/431,7764/8261 is 17872728

2 9208, 7764
2 4604, 3882
2302, 1941

∴ So the LCM of the given numbers is 2 x 2 x 2302 x 1941 = 17872728

Least Common Multiple of 9208,7764 with GCF Formula

Least Common Multiple of 9208,7764 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 9208,7764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9208,7764) = 4

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

GCF(9208,7764) x common factors =4 x 1 = 4

LCM(9208,7764) = ( 9208 × 7764 ) / 4

LCM(9208,7764) = 71490912 / 4

LCM(9208,7764) = 17872728


Lets's calculate GCF of 431,8261

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17872728/1

Therefore the LCM of Fractions 9208/431,7764/8261 is 17872728

Greatest Common Factor of 431,8261 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,8261 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 8261

List of positive integer factors of 8261 that divides 8261 without a remainder.

1,11,751,8261

Greatest Common Factor

We found the factors 431,8261 . The biggest common factor number is the GCF number.
So the greatest common factor 431,8261 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 9208/431, 7764/8261

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 9208/431, 7764/8261?

Answer: LCM of Numerators as per given numbers 9208/431, 7764/8261 is

LCM of Numerators i.e. for 9208,7764 is 17872728

GCF of denominators i.e. for 431,8261 is 1.

Thus, LCM of Fractions is 17872728.Finally, LCM of Fractions for 9208/431, 7764/8261 is 17872728.