Least Common Multiple of 7290/230, 2217/8700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7290/230, 2217/8700 quickly i.e. 538731 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7290/230, 2217/8700 is 538731.

LCM(7290/230, 2217/8700) = 538731

LCM of 7290/230, 2217/8700

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 7290/230,2217/8700

Given numbers are 7290/230,2217/8700

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 7290,2217

Least Common Multiple of Numerators i.e. LCM of 7290,2217 is 5387310.

GCF of Denominators means GCF of 230,8700 as per the given fractions.

GCF of 230,8700 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7290,2217

LCM of Fractions 7290/230,2217/8700 is 538731

3 7290, 2217
2430, 739

∴ So the LCM of the given numbers is 3 x 2430 x 739 = 5387310

Least Common Multiple of 7290,2217 with GCF Formula

Least Common Multiple of 7290,2217 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 7290,2217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7290,2217) = 3

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

GCF(7290,2217) x common factors =3 x 1 = 3

LCM(7290,2217) = ( 7290 × 2217 ) / 3

LCM(7290,2217) = 16161930 / 3

LCM(7290,2217) = 5387310


Lets's calculate GCF of 230,8700

2 230, 8700
5 115, 4350
23, 870

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5387310/10

Therefore the LCM of Fractions 7290/230,2217/8700 is 538731

Greatest Common Factor of 230,8700 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,8700 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,29,30,50,58,60,75,87,100,116,145,150,174,290,300,348,435,580,725,870,1450,1740,2175,2900,4350,8700

Greatest Common Factor

We found the factors 230,8700 . The biggest common factor number is the GCF number.
So the greatest common factor 230,8700 is 10.


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 7290/230, 2217/8700

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 7290/230, 2217/8700?

Answer: LCM of Numerators as per given numbers 7290/230, 2217/8700 is

LCM of Numerators i.e. for 7290,2217 is 5387310

GCF of denominators i.e. for 230,8700 is 10.

Thus, LCM of Fractions is 538731.Finally, LCM of Fractions for 7290/230, 2217/8700 is 538731.