Least Common Multiple of 500/54, 298/45, 942/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/54, 298/45, 942/597 quickly i.e. 11696500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/54, 298/45, 942/597 is 11696500.

LCM(500/54, 298/45, 942/597) = 11696500

LCM of 500/54, 298/45, 942/597

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 500/54,298/45,942/597

Given numbers are 500/54,298/45,942/597

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 500,298,942

Least Common Multiple of Numerators i.e. LCM of 500,298,942 is 35089500.

GCF of Denominators means GCF of 54,45,597 as per the given fractions.

GCF of 54,45,597 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,298,942

LCM of Fractions 500/54,298/45,942/597 is 11696500

2 500, 298, 942
250, 149, 471

∴ So the LCM of the given numbers is 2 x 250 x 149 x 471 = 35089500

Least Common Multiple of 500,298,942 with GCF Formula

Least Common Multiple of 500,298,942 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 500,298,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,298,942) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(500,298,942) x common factors =2 x 2 = 4

LCM(500,298,942) = ( 500 × 298 × 942 ) / 4

LCM(500,298,942) = 140358000 / 4

LCM(500,298,942) = 35089500


Lets's calculate GCF of 54,45,597

3 54, 45, 597
18, 15, 199

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35089500/3

Therefore the LCM of Fractions 500/54,298/45,942/597 is 11696500

Greatest Common Factor of 54,45,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,45,597 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 54,45,597 . The biggest common factor number is the GCF number.
So the greatest common factor 54,45,597 is 3.


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 500/54, 298/45, 942/597

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 500/54, 298/45, 942/597?

Answer: LCM of Numerators as per given numbers 500/54, 298/45, 942/597 is

LCM of Numerators i.e. for 500,298,942 is 35089500

GCF of denominators i.e. for 54,45,597 is 3.

Thus, LCM of Fractions is 11696500.Finally, LCM of Fractions for 500/54, 298/45, 942/597 is 11696500.