Least Common Multiple of 509/253, 605/162, 871/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 509/253, 605/162, 871/604 quickly i.e. 268220095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 509/253, 605/162, 871/604 is 268220095.

LCM(509/253, 605/162, 871/604) = 268220095

LCM of 509/253, 605/162, 871/604

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 509/253,605/162,871/604

Given numbers are 509/253,605/162,871/604

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 509,605,871

Least Common Multiple of Numerators i.e. LCM of 509,605,871 is 268220095.

GCF of Denominators means GCF of 253,162,604 as per the given fractions.

GCF of 253,162,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 509,605,871

LCM of Fractions 509/253,605/162,871/604 is 268220095

Given numbers has no common factors except 1. So, there LCM is their product i.e 268220095

Least Common Multiple of 509,605,871 with GCF Formula

Least Common Multiple of 509,605,871 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 509,605,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,605,871) = 1

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

GCF(509,605,871) x common factors =1 x 1 = 1

LCM(509,605,871) = ( 509 × 605 × 871 ) / 1

LCM(509,605,871) = 268220095 / 1

LCM(509,605,871) = 268220095


Lets's calculate GCF of 253,162,604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268220095/1

Therefore the LCM of Fractions 509/253,605/162,871/604 is 268220095

Greatest Common Factor of 253,162,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,162,604 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 253,162,604 . The biggest common factor number is the GCF number.
So the greatest common factor 253,162,604 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 509/253, 605/162, 871/604

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 509/253, 605/162, 871/604?

Answer: LCM of Numerators as per given numbers 509/253, 605/162, 871/604 is

LCM of Numerators i.e. for 509,605,871 is 268220095

GCF of denominators i.e. for 253,162,604 is 1.

Thus, LCM of Fractions is 268220095.Finally, LCM of Fractions for 509/253, 605/162, 871/604 is 268220095.