Least Common Multiple of 514/65, 494/4744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/65, 494/4744 quickly i.e. 126958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/65, 494/4744 is 126958.

LCM(514/65, 494/4744) = 126958

LCM of 514/65, 494/4744

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 514/65,494/4744

Given numbers are 514/65,494/4744

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 514,494

Least Common Multiple of Numerators i.e. LCM of 514,494 is 126958.

GCF of Denominators means GCF of 65,4744 as per the given fractions.

GCF of 65,4744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,494

LCM of Fractions 514/65,494/4744 is 126958

2 514, 494
257, 247

∴ So the LCM of the given numbers is 2 x 257 x 247 = 126958

Least Common Multiple of 514,494 with GCF Formula

Least Common Multiple of 514,494 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 514,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,494) = 2

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

GCF(514,494) x common factors =2 x 1 = 2

LCM(514,494) = ( 514 × 494 ) / 2

LCM(514,494) = 253916 / 2

LCM(514,494) = 126958


Lets's calculate GCF of 65,4744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126958/1

Therefore the LCM of Fractions 514/65,494/4744 is 126958

Greatest Common Factor of 65,4744 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,4744 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 4744

List of positive integer factors of 4744 that divides 4744 without a remainder.

1,2,4,8,593,1186,2372,4744

Greatest Common Factor

We found the factors 65,4744 . The biggest common factor number is the GCF number.
So the greatest common factor 65,4744 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 514/65, 494/4744

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 514/65, 494/4744?

Answer: LCM of Numerators as per given numbers 514/65, 494/4744 is

LCM of Numerators i.e. for 514,494 is 126958

GCF of denominators i.e. for 65,4744 is 1.

Thus, LCM of Fractions is 126958.Finally, LCM of Fractions for 514/65, 494/4744 is 126958.