Least Common Multiple of 31/590, 29/230, 222/782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/590, 29/230, 222/782 quickly i.e. 99789 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/590, 29/230, 222/782 is 99789.

LCM(31/590, 29/230, 222/782) = 99789

LCM of 31/590, 29/230, 222/782

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 31/590,29/230,222/782

Given numbers are 31/590,29/230,222/782

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 31,29,222

Least Common Multiple of Numerators i.e. LCM of 31,29,222 is 199578.

GCF of Denominators means GCF of 590,230,782 as per the given fractions.

GCF of 590,230,782 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,29,222

LCM of Fractions 31/590,29/230,222/782 is 99789

Given numbers has no common factors except 1. So, there LCM is their product i.e 199578

Least Common Multiple of 31,29,222 with GCF Formula

Least Common Multiple of 31,29,222 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 31,29,222 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,29,222) = 1

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

GCF(31,29,222) x common factors =1 x 1 = 1

LCM(31,29,222) = ( 31 × 29 × 222 ) / 1

LCM(31,29,222) = 199578 / 1

LCM(31,29,222) = 199578


Lets's calculate GCF of 590,230,782

2 590, 230, 782
295, 115, 391

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199578/2

Therefore the LCM of Fractions 31/590,29/230,222/782 is 99789

Greatest Common Factor of 590,230,782 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,230,782 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 782

List of positive integer factors of 782 that divides 782 without a remainder.

1,2,17,23,34,46,391,782

Greatest Common Factor

We found the factors 590,230,782 . The biggest common factor number is the GCF number.
So the greatest common factor 590,230,782 is 2.


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 31/590, 29/230, 222/782

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 31/590, 29/230, 222/782?

Answer: LCM of Numerators as per given numbers 31/590, 29/230, 222/782 is

LCM of Numerators i.e. for 31,29,222 is 199578

GCF of denominators i.e. for 590,230,782 is 2.

Thus, LCM of Fractions is 99789.Finally, LCM of Fractions for 31/590, 29/230, 222/782 is 99789.