Least Common Multiple of 59/507, 31/670, 199/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/507, 31/670, 199/444 quickly i.e. 363971 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/507, 31/670, 199/444 is 363971.

LCM(59/507, 31/670, 199/444) = 363971

LCM of 59/507, 31/670, 199/444

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 59/507,31/670,199/444

Given numbers are 59/507,31/670,199/444

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 59,31,199

Least Common Multiple of Numerators i.e. LCM of 59,31,199 is 363971.

GCF of Denominators means GCF of 507,670,444 as per the given fractions.

GCF of 507,670,444 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,31,199

LCM of Fractions 59/507,31/670,199/444 is 363971

Given numbers has no common factors except 1. So, there LCM is their product i.e 363971

Least Common Multiple of 59,31,199 with GCF Formula

Least Common Multiple of 59,31,199 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 59,31,199 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,31,199) = 1

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

GCF(59,31,199) x common factors =1 x 1 = 1

LCM(59,31,199) = ( 59 × 31 × 199 ) / 1

LCM(59,31,199) = 363971 / 1

LCM(59,31,199) = 363971


Lets's calculate GCF of 507,670,444

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 363971/1

Therefore the LCM of Fractions 59/507,31/670,199/444 is 363971

Greatest Common Factor of 507,670,444 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,670,444 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1,2,3,4,6,12,37,74,111,148,222,444

Greatest Common Factor

We found the factors 507,670,444 . The biggest common factor number is the GCF number.
So the greatest common factor 507,670,444 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 59/507, 31/670, 199/444

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 59/507, 31/670, 199/444?

Answer: LCM of Numerators as per given numbers 59/507, 31/670, 199/444 is

LCM of Numerators i.e. for 59,31,199 is 363971

GCF of denominators i.e. for 507,670,444 is 1.

Thus, LCM of Fractions is 363971.Finally, LCM of Fractions for 59/507, 31/670, 199/444 is 363971.