Least Common Multiple of 230/727, 8763/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/727, 8763/796 quickly i.e. 87630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/727, 8763/796 is 87630.

LCM(230/727, 8763/796) = 87630

LCM of 230/727, 8763/796

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 230/727,8763/796

Given numbers are 230/727,8763/796

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 230,8763

Least Common Multiple of Numerators i.e. LCM of 230,8763 is 87630.

GCF of Denominators means GCF of 727,796 as per the given fractions.

GCF of 727,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,8763

LCM of Fractions 230/727,8763/796 is 87630

23 230, 8763
10, 381

∴ So the LCM of the given numbers is 23 x 10 x 381 = 87630

Least Common Multiple of 230,8763 with GCF Formula

Least Common Multiple of 230,8763 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 230,8763 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,8763) = 23

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

GCF(230,8763) x common factors =23 x 1 = 23

LCM(230,8763) = ( 230 × 8763 ) / 23

LCM(230,8763) = 2015490 / 23

LCM(230,8763) = 87630


Lets's calculate GCF of 727,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87630/1

Therefore the LCM of Fractions 230/727,8763/796 is 87630

Greatest Common Factor of 727,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 727,796 By Matching Biggest Common Factor Method

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 727,796 . The biggest common factor number is the GCF number.
So the greatest common factor 727,796 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 230/727, 8763/796

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 230/727, 8763/796?

Answer: LCM of Numerators as per given numbers 230/727, 8763/796 is

LCM of Numerators i.e. for 230,8763 is 87630

GCF of denominators i.e. for 727,796 is 1.

Thus, LCM of Fractions is 87630.Finally, LCM of Fractions for 230/727, 8763/796 is 87630.