Least Common Multiple of 504/17, 477/38, 764/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/17, 477/38, 764/294 quickly i.e. 5101992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/17, 477/38, 764/294 is 5101992.

LCM(504/17, 477/38, 764/294) = 5101992

LCM of 504/17, 477/38, 764/294

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 504/17,477/38,764/294

Given numbers are 504/17,477/38,764/294

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 504,477,764

Least Common Multiple of Numerators i.e. LCM of 504,477,764 is 5101992.

GCF of Denominators means GCF of 17,38,294 as per the given fractions.

GCF of 17,38,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,477,764

LCM of Fractions 504/17,477/38,764/294 is 5101992

2 504, 477, 764
2 252, 477, 382
3 126, 477, 191
3 42, 159, 191
14, 53, 191

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 14 x 53 x 191 = 5101992

Least Common Multiple of 504,477,764 with GCF Formula

Least Common Multiple of 504,477,764 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 504,477,764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,477,764) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(504,477,764) x common factors =1 x 36 = 36

LCM(504,477,764) = ( 504 × 477 × 764 ) / 36

LCM(504,477,764) = 183671712 / 36

LCM(504,477,764) = 5101992


Lets's calculate GCF of 17,38,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5101992/1

Therefore the LCM of Fractions 504/17,477/38,764/294 is 5101992

Greatest Common Factor of 17,38,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,38,294 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Greatest Common Factor

We found the factors 17,38,294 . The biggest common factor number is the GCF number.
So the greatest common factor 17,38,294 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 504/17, 477/38, 764/294

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 504/17, 477/38, 764/294?

Answer: LCM of Numerators as per given numbers 504/17, 477/38, 764/294 is

LCM of Numerators i.e. for 504,477,764 is 5101992

GCF of denominators i.e. for 17,38,294 is 1.

Thus, LCM of Fractions is 5101992.Finally, LCM of Fractions for 504/17, 477/38, 764/294 is 5101992.