Least Common Multiple of 71/142, 30/596, 424/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/142, 30/596, 424/226 quickly i.e. 225780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/142, 30/596, 424/226 is 225780.

LCM(71/142, 30/596, 424/226) = 225780

LCM of 71/142, 30/596, 424/226

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 71/142,30/596,424/226

Given numbers are 71/142,30/596,424/226

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 71,30,424

Least Common Multiple of Numerators i.e. LCM of 71,30,424 is 451560.

GCF of Denominators means GCF of 142,596,226 as per the given fractions.

GCF of 142,596,226 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,30,424

LCM of Fractions 71/142,30/596,424/226 is 225780

2 71, 30, 424
71, 15, 212

∴ So the LCM of the given numbers is 2 x 71 x 15 x 212 = 451560

Least Common Multiple of 71,30,424 with GCF Formula

Least Common Multiple of 71,30,424 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 71,30,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,30,424) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,30,424) x common factors =1 x 2 = 2

LCM(71,30,424) = ( 71 × 30 × 424 ) / 2

LCM(71,30,424) = 903120 / 2

LCM(71,30,424) = 451560


Lets's calculate GCF of 142,596,226

2 142, 596, 226
71, 298, 113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 451560/2

Therefore the LCM of Fractions 71/142,30/596,424/226 is 225780

Greatest Common Factor of 142,596,226 By Matching Biggest Common Factor Method

Greatest Common Factor of 142,596,226 By Matching Biggest Common Factor Method

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1,2,71,142

Factors of 596

List of positive integer factors of 596 that divides 596 without a remainder.

1,2,4,149,298,596

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Greatest Common Factor

We found the factors 142,596,226 . The biggest common factor number is the GCF number.
So the greatest common factor 142,596,226 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 71/142, 30/596, 424/226

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 71/142, 30/596, 424/226?

Answer: LCM of Numerators as per given numbers 71/142, 30/596, 424/226 is

LCM of Numerators i.e. for 71,30,424 is 451560

GCF of denominators i.e. for 142,596,226 is 2.

Thus, LCM of Fractions is 225780.Finally, LCM of Fractions for 71/142, 30/596, 424/226 is 225780.