Least Common Multiple of 794/501, 730/522, 514/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/501, 730/522, 514/477 quickly i.e. 74481170/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/501, 730/522, 514/477 is 74481170/3.

LCM(794/501, 730/522, 514/477) = 74481170/3

LCM of 794/501, 730/522, 514/477

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 794/501,730/522,514/477

Given numbers are 794/501,730/522,514/477

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 794,730,514

Least Common Multiple of Numerators i.e. LCM of 794,730,514 is 74481170.

GCF of Denominators means GCF of 501,522,477 as per the given fractions.

GCF of 501,522,477 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,730,514

LCM of Fractions 794/501,730/522,514/477 is 74481170/3

2 794, 730, 514
397, 365, 257

∴ So the LCM of the given numbers is 2 x 397 x 365 x 257 = 74481170

Least Common Multiple of 794,730,514 with GCF Formula

Least Common Multiple of 794,730,514 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 794,730,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,730,514) = 2

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

GCF(794,730,514) x common factors =2 x 2 = 4

LCM(794,730,514) = ( 794 × 730 × 514 ) / 4

LCM(794,730,514) = 297924680 / 4

LCM(794,730,514) = 74481170


Lets's calculate GCF of 501,522,477

3 501, 522, 477
167, 174, 159

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74481170/3

Therefore the LCM of Fractions 794/501,730/522,514/477 is 74481170/3

Greatest Common Factor of 501,522,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 501,522,477 By Matching Biggest Common Factor Method

Factors of 501

List of positive integer factors of 501 that divides 501 without a remainder.

1,3,167,501

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 501,522,477 . The biggest common factor number is the GCF number.
So the greatest common factor 501,522,477 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 794/501, 730/522, 514/477

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 794/501, 730/522, 514/477?

Answer: LCM of Numerators as per given numbers 794/501, 730/522, 514/477 is

LCM of Numerators i.e. for 794,730,514 is 74481170

GCF of denominators i.e. for 501,522,477 is 3.

Thus, LCM of Fractions is 74481170/3.Finally, LCM of Fractions for 794/501, 730/522, 514/477 is 74481170/3.