Least Common Multiple of 500/493, 771/994, 614/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 500/493, 771/994, 614/470 quickly i.e. 118348500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 500/493, 771/994, 614/470 is 118348500.

LCM(500/493, 771/994, 614/470) = 118348500

LCM of 500/493, 771/994, 614/470

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 500/493,771/994,614/470

Given numbers are 500/493,771/994,614/470

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 500,771,614

Least Common Multiple of Numerators i.e. LCM of 500,771,614 is 118348500.

GCF of Denominators means GCF of 493,994,470 as per the given fractions.

GCF of 493,994,470 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 500,771,614

LCM of Fractions 500/493,771/994,614/470 is 118348500

2 500, 771, 614
250, 771, 307

∴ So the LCM of the given numbers is 2 x 250 x 771 x 307 = 118348500

Least Common Multiple of 500,771,614 with GCF Formula

Least Common Multiple of 500,771,614 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 500,771,614 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(500,771,614) = 1

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

GCF(500,771,614) x common factors =1 x 2 = 2

LCM(500,771,614) = ( 500 × 771 × 614 ) / 2

LCM(500,771,614) = 236697000 / 2

LCM(500,771,614) = 118348500


Lets's calculate GCF of 493,994,470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118348500/1

Therefore the LCM of Fractions 500/493,771/994,614/470 is 118348500

Greatest Common Factor of 493,994,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 493,994,470 By Matching Biggest Common Factor Method

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 493,994,470 . The biggest common factor number is the GCF number.
So the greatest common factor 493,994,470 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 500/493, 771/994, 614/470

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 500/493, 771/994, 614/470?

Answer: LCM of Numerators as per given numbers 500/493, 771/994, 614/470 is

LCM of Numerators i.e. for 500,771,614 is 118348500

GCF of denominators i.e. for 493,994,470 is 1.

Thus, LCM of Fractions is 118348500.Finally, LCM of Fractions for 500/493, 771/994, 614/470 is 118348500.