Least Common Multiple of 31/426, 18/724, 759/174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/426, 18/724, 759/174 quickly i.e. 70587 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/426, 18/724, 759/174 is 70587.

LCM(31/426, 18/724, 759/174) = 70587

LCM of 31/426, 18/724, 759/174

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 31/426,18/724,759/174

Given numbers are 31/426,18/724,759/174

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 31,18,759

Least Common Multiple of Numerators i.e. LCM of 31,18,759 is 141174.

GCF of Denominators means GCF of 426,724,174 as per the given fractions.

GCF of 426,724,174 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,18,759

LCM of Fractions 31/426,18/724,759/174 is 70587

3 31, 18, 759
31, 6, 253

∴ So the LCM of the given numbers is 3 x 31 x 6 x 253 = 141174

Least Common Multiple of 31,18,759 with GCF Formula

Least Common Multiple of 31,18,759 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 31,18,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,18,759) = 1

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

GCF(31,18,759) x common factors =1 x 3 = 3

LCM(31,18,759) = ( 31 × 18 × 759 ) / 3

LCM(31,18,759) = 423522 / 3

LCM(31,18,759) = 141174


Lets's calculate GCF of 426,724,174

2 426, 724, 174
213, 362, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141174/2

Therefore the LCM of Fractions 31/426,18/724,759/174 is 70587

Greatest Common Factor of 426,724,174 By Matching Biggest Common Factor Method

Greatest Common Factor of 426,724,174 By Matching Biggest Common Factor Method

Factors of 426

List of positive integer factors of 426 that divides 426 without a remainder.

1,2,3,6,71,142,213,426

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Greatest Common Factor

We found the factors 426,724,174 . The biggest common factor number is the GCF number.
So the greatest common factor 426,724,174 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 31/426, 18/724, 759/174

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 31/426, 18/724, 759/174?

Answer: LCM of Numerators as per given numbers 31/426, 18/724, 759/174 is

LCM of Numerators i.e. for 31,18,759 is 141174

GCF of denominators i.e. for 426,724,174 is 2.

Thus, LCM of Fractions is 70587.Finally, LCM of Fractions for 31/426, 18/724, 759/174 is 70587.