Least Common Multiple of 18/577, 27/502, 601/734

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/577, 27/502, 601/734 quickly i.e. 32454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/577, 27/502, 601/734 is 32454.

LCM(18/577, 27/502, 601/734) = 32454

LCM of 18/577, 27/502, 601/734

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 18/577,27/502,601/734

Given numbers are 18/577,27/502,601/734

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 18,27,601

Least Common Multiple of Numerators i.e. LCM of 18,27,601 is 32454.

GCF of Denominators means GCF of 577,502,734 as per the given fractions.

GCF of 577,502,734 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,27,601

LCM of Fractions 18/577,27/502,601/734 is 32454

3 18, 27, 601
3 6, 9, 601
2, 3, 601

∴ So the LCM of the given numbers is 3 x 3 x 2 x 3 x 601 = 32454

Least Common Multiple of 18,27,601 with GCF Formula

Least Common Multiple of 18,27,601 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 18,27,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,27,601) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(18,27,601) x common factors =1 x 9 = 9

LCM(18,27,601) = ( 18 × 27 × 601 ) / 9

LCM(18,27,601) = 292086 / 9

LCM(18,27,601) = 32454


Lets's calculate GCF of 577,502,734

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32454/1

Therefore the LCM of Fractions 18/577,27/502,601/734 is 32454

Greatest Common Factor of 577,502,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 577,502,734 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 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 577,502,734 . The biggest common factor number is the GCF number.
So the greatest common factor 577,502,734 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 18/577, 27/502, 601/734

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 18/577, 27/502, 601/734?

Answer: LCM of Numerators as per given numbers 18/577, 27/502, 601/734 is

LCM of Numerators i.e. for 18,27,601 is 32454

GCF of denominators i.e. for 577,502,734 is 1.

Thus, LCM of Fractions is 32454.Finally, LCM of Fractions for 18/577, 27/502, 601/734 is 32454.