Least Common Multiple of 9230/916, 4298/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9230/916, 4298/867 quickly i.e. 19835270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9230/916, 4298/867 is 19835270.

LCM(9230/916, 4298/867) = 19835270

LCM of 9230/916, 4298/867

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 9230/916,4298/867

Given numbers are 9230/916,4298/867

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 9230,4298

Least Common Multiple of Numerators i.e. LCM of 9230,4298 is 19835270.

GCF of Denominators means GCF of 916,867 as per the given fractions.

GCF of 916,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9230,4298

LCM of Fractions 9230/916,4298/867 is 19835270

2 9230, 4298
4615, 2149

∴ So the LCM of the given numbers is 2 x 4615 x 2149 = 19835270

Least Common Multiple of 9230,4298 with GCF Formula

Least Common Multiple of 9230,4298 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 9230,4298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9230,4298) = 2

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

GCF(9230,4298) x common factors =2 x 1 = 2

LCM(9230,4298) = ( 9230 × 4298 ) / 2

LCM(9230,4298) = 39670540 / 2

LCM(9230,4298) = 19835270


Lets's calculate GCF of 916,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19835270/1

Therefore the LCM of Fractions 9230/916,4298/867 is 19835270

Greatest Common Factor of 916,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,867 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 916,867 . The biggest common factor number is the GCF number.
So the greatest common factor 916,867 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 9230/916, 4298/867

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 9230/916, 4298/867?

Answer: LCM of Numerators as per given numbers 9230/916, 4298/867 is

LCM of Numerators i.e. for 9230,4298 is 19835270

GCF of denominators i.e. for 916,867 is 1.

Thus, LCM of Fractions is 19835270.Finally, LCM of Fractions for 9230/916, 4298/867 is 19835270.