Least Common Multiple of 76/577, 683/223, 291/266

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/577, 683/223, 291/266 quickly i.e. 15105228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/577, 683/223, 291/266 is 15105228.

LCM(76/577, 683/223, 291/266) = 15105228

LCM of 76/577, 683/223, 291/266

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 76/577,683/223,291/266

Given numbers are 76/577,683/223,291/266

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 76,683,291

Least Common Multiple of Numerators i.e. LCM of 76,683,291 is 15105228.

GCF of Denominators means GCF of 577,223,266 as per the given fractions.

GCF of 577,223,266 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,683,291

LCM of Fractions 76/577,683/223,291/266 is 15105228

Given numbers has no common factors except 1. So, there LCM is their product i.e 15105228

Least Common Multiple of 76,683,291 with GCF Formula

Least Common Multiple of 76,683,291 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 76,683,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,683,291) = 1

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

GCF(76,683,291) x common factors =1 x 1 = 1

LCM(76,683,291) = ( 76 × 683 × 291 ) / 1

LCM(76,683,291) = 15105228 / 1

LCM(76,683,291) = 15105228


Lets's calculate GCF of 577,223,266

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15105228/1

Therefore the LCM of Fractions 76/577,683/223,291/266 is 15105228

Greatest Common Factor of 577,223,266 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,223,266 By Matching Biggest Common Factor Method

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Greatest Common Factor

We found the factors 577,223,266 . The biggest common factor number is the GCF number.
So the greatest common factor 577,223,266 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 76/577, 683/223, 291/266

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 76/577, 683/223, 291/266?

Answer: LCM of Numerators as per given numbers 76/577, 683/223, 291/266 is

LCM of Numerators i.e. for 76,683,291 is 15105228

GCF of denominators i.e. for 577,223,266 is 1.

Thus, LCM of Fractions is 15105228.Finally, LCM of Fractions for 76/577, 683/223, 291/266 is 15105228.