Least Common Multiple of 504/973, 177/158, 579/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 504/973, 177/158, 579/715 quickly i.e. 5739048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 504/973, 177/158, 579/715 is 5739048.

LCM(504/973, 177/158, 579/715) = 5739048

LCM of 504/973, 177/158, 579/715

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 504/973,177/158,579/715

Given numbers are 504/973,177/158,579/715

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 504,177,579

Least Common Multiple of Numerators i.e. LCM of 504,177,579 is 5739048.

GCF of Denominators means GCF of 973,158,715 as per the given fractions.

GCF of 973,158,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 504,177,579

LCM of Fractions 504/973,177/158,579/715 is 5739048

3 504, 177, 579
168, 59, 193

∴ So the LCM of the given numbers is 3 x 168 x 59 x 193 = 5739048

Least Common Multiple of 504,177,579 with GCF Formula

Least Common Multiple of 504,177,579 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 504,177,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(504,177,579) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(504,177,579) x common factors =3 x 3 = 9

LCM(504,177,579) = ( 504 × 177 × 579 ) / 9

LCM(504,177,579) = 51651432 / 9

LCM(504,177,579) = 5739048


Lets's calculate GCF of 973,158,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5739048/1

Therefore the LCM of Fractions 504/973,177/158,579/715 is 5739048

Greatest Common Factor of 973,158,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 973,158,715 By Matching Biggest Common Factor Method

Factors of 973

List of positive integer factors of 973 that divides 973 without a remainder.

1,7,139,973

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 973,158,715 . The biggest common factor number is the GCF number.
So the greatest common factor 973,158,715 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 504/973, 177/158, 579/715

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 504/973, 177/158, 579/715?

Answer: LCM of Numerators as per given numbers 504/973, 177/158, 579/715 is

LCM of Numerators i.e. for 504,177,579 is 5739048

GCF of denominators i.e. for 973,158,715 is 1.

Thus, LCM of Fractions is 5739048.Finally, LCM of Fractions for 504/973, 177/158, 579/715 is 5739048.