Least Common Multiple of 644/203, 890/958, 598/311

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 644/203, 890/958, 598/311 quickly i.e. 3725540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 644/203, 890/958, 598/311 is 3725540.

LCM(644/203, 890/958, 598/311) = 3725540

LCM of 644/203, 890/958, 598/311

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 644/203,890/958,598/311

Given numbers are 644/203,890/958,598/311

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 644,890,598

Least Common Multiple of Numerators i.e. LCM of 644,890,598 is 3725540.

GCF of Denominators means GCF of 203,958,311 as per the given fractions.

GCF of 203,958,311 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 644,890,598

LCM of Fractions 644/203,890/958,598/311 is 3725540

2 644, 890, 598
23 322, 445, 299
14, 445, 13

∴ So the LCM of the given numbers is 2 x 23 x 14 x 445 x 13 = 3725540

Least Common Multiple of 644,890,598 with GCF Formula

Least Common Multiple of 644,890,598 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 644,890,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,890,598) = 2

common factors(in case of two or more numbers have common factors) = 46

GCF(644,890,598) x common factors =2 x 46 = 92

LCM(644,890,598) = ( 644 × 890 × 598 ) / 92

LCM(644,890,598) = 342749680 / 92

LCM(644,890,598) = 3725540


Lets's calculate GCF of 203,958,311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3725540/1

Therefore the LCM of Fractions 644/203,890/958,598/311 is 3725540

Greatest Common Factor of 203,958,311 By Matching Biggest Common Factor Method

Greatest Common Factor of 203,958,311 By Matching Biggest Common Factor Method

Factors of 203

List of positive integer factors of 203 that divides 203 without a remainder.

1,7,29,203

Factors of 958

List of positive integer factors of 958 that divides 958 without a remainder.

1,2,479,958

Factors of 311

List of positive integer factors of 311 that divides 311 without a remainder.

1,311

Greatest Common Factor

We found the factors 203,958,311 . The biggest common factor number is the GCF number.
So the greatest common factor 203,958,311 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 644/203, 890/958, 598/311

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 644/203, 890/958, 598/311?

Answer: LCM of Numerators as per given numbers 644/203, 890/958, 598/311 is

LCM of Numerators i.e. for 644,890,598 is 3725540

GCF of denominators i.e. for 203,958,311 is 1.

Thus, LCM of Fractions is 3725540.Finally, LCM of Fractions for 644/203, 890/958, 598/311 is 3725540.