Least Common Multiple of 60/866, 96/265, 229/133

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 60/866, 96/265, 229/133 quickly i.e. 109920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 60/866, 96/265, 229/133 is 109920.

LCM(60/866, 96/265, 229/133) = 109920

LCM of 60/866, 96/265, 229/133

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 60/866,96/265,229/133

Given numbers are 60/866,96/265,229/133

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 60,96,229

Least Common Multiple of Numerators i.e. LCM of 60,96,229 is 109920.

GCF of Denominators means GCF of 866,265,133 as per the given fractions.

GCF of 866,265,133 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 60,96,229

LCM of Fractions 60/866,96/265,229/133 is 109920

2 60, 96, 229
2 30, 48, 229
3 15, 24, 229
5, 8, 229

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 8 x 229 = 109920

Least Common Multiple of 60,96,229 with GCF Formula

Least Common Multiple of 60,96,229 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 60,96,229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,96,229) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(60,96,229) x common factors =1 x 12 = 12

LCM(60,96,229) = ( 60 × 96 × 229 ) / 12

LCM(60,96,229) = 1319040 / 12

LCM(60,96,229) = 109920


Lets's calculate GCF of 866,265,133

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109920/1

Therefore the LCM of Fractions 60/866,96/265,229/133 is 109920

Greatest Common Factor of 866,265,133 By Matching Biggest Common Factor Method

Greatest Common Factor of 866,265,133 By Matching Biggest Common Factor Method

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Greatest Common Factor

We found the factors 866,265,133 . The biggest common factor number is the GCF number.
So the greatest common factor 866,265,133 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 60/866, 96/265, 229/133

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 60/866, 96/265, 229/133?

Answer: LCM of Numerators as per given numbers 60/866, 96/265, 229/133 is

LCM of Numerators i.e. for 60,96,229 is 109920

GCF of denominators i.e. for 866,265,133 is 1.

Thus, LCM of Fractions is 109920.Finally, LCM of Fractions for 60/866, 96/265, 229/133 is 109920.