Least Common Multiple of 31/329, 57/212, 609/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/329, 57/212, 609/870 quickly i.e. 358701 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/329, 57/212, 609/870 is 358701.

LCM(31/329, 57/212, 609/870) = 358701

LCM of 31/329, 57/212, 609/870

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 31/329,57/212,609/870

Given numbers are 31/329,57/212,609/870

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 31,57,609

Least Common Multiple of Numerators i.e. LCM of 31,57,609 is 358701.

GCF of Denominators means GCF of 329,212,870 as per the given fractions.

GCF of 329,212,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,57,609

LCM of Fractions 31/329,57/212,609/870 is 358701

3 31, 57, 609
31, 19, 203

∴ So the LCM of the given numbers is 3 x 31 x 19 x 203 = 358701

Least Common Multiple of 31,57,609 with GCF Formula

Least Common Multiple of 31,57,609 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 31,57,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,57,609) = 1

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

GCF(31,57,609) x common factors =1 x 3 = 3

LCM(31,57,609) = ( 31 × 57 × 609 ) / 3

LCM(31,57,609) = 1076103 / 3

LCM(31,57,609) = 358701


Lets's calculate GCF of 329,212,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 358701/1

Therefore the LCM of Fractions 31/329,57/212,609/870 is 358701

Greatest Common Factor of 329,212,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,212,870 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 329,212,870 . The biggest common factor number is the GCF number.
So the greatest common factor 329,212,870 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 31/329, 57/212, 609/870

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 31/329, 57/212, 609/870?

Answer: LCM of Numerators as per given numbers 31/329, 57/212, 609/870 is

LCM of Numerators i.e. for 31,57,609 is 358701

GCF of denominators i.e. for 329,212,870 is 1.

Thus, LCM of Fractions is 358701.Finally, LCM of Fractions for 31/329, 57/212, 609/870 is 358701.