Least Common Multiple of 51/599, 871/218, 504/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/599, 871/218, 504/164 quickly i.e. 7462728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/599, 871/218, 504/164 is 7462728.

LCM(51/599, 871/218, 504/164) = 7462728

LCM of 51/599, 871/218, 504/164

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 51/599,871/218,504/164

Given numbers are 51/599,871/218,504/164

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 51,871,504

Least Common Multiple of Numerators i.e. LCM of 51,871,504 is 7462728.

GCF of Denominators means GCF of 599,218,164 as per the given fractions.

GCF of 599,218,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,871,504

LCM of Fractions 51/599,871/218,504/164 is 7462728

3 51, 871, 504
17, 871, 168

∴ So the LCM of the given numbers is 3 x 17 x 871 x 168 = 7462728

Least Common Multiple of 51,871,504 with GCF Formula

Least Common Multiple of 51,871,504 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 51,871,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,871,504) = 1

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

GCF(51,871,504) x common factors =1 x 3 = 3

LCM(51,871,504) = ( 51 × 871 × 504 ) / 3

LCM(51,871,504) = 22388184 / 3

LCM(51,871,504) = 7462728


Lets's calculate GCF of 599,218,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7462728/1

Therefore the LCM of Fractions 51/599,871/218,504/164 is 7462728

Greatest Common Factor of 599,218,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,218,164 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 599,218,164 . The biggest common factor number is the GCF number.
So the greatest common factor 599,218,164 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 51/599, 871/218, 504/164

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 51/599, 871/218, 504/164?

Answer: LCM of Numerators as per given numbers 51/599, 871/218, 504/164 is

LCM of Numerators i.e. for 51,871,504 is 7462728

GCF of denominators i.e. for 599,218,164 is 1.

Thus, LCM of Fractions is 7462728.Finally, LCM of Fractions for 51/599, 871/218, 504/164 is 7462728.