Least Common Multiple of 426/607, 576/204, 724/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 426/607, 576/204, 724/319 quickly i.e. 7402176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 426/607, 576/204, 724/319 is 7402176.

LCM(426/607, 576/204, 724/319) = 7402176

LCM of 426/607, 576/204, 724/319

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 426/607,576/204,724/319

Given numbers are 426/607,576/204,724/319

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 426,576,724

Least Common Multiple of Numerators i.e. LCM of 426,576,724 is 7402176.

GCF of Denominators means GCF of 607,204,319 as per the given fractions.

GCF of 607,204,319 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 426,576,724

LCM of Fractions 426/607,576/204,724/319 is 7402176

2 426, 576, 724
2 213, 288, 362
3 213, 144, 181
71, 48, 181

∴ So the LCM of the given numbers is 2 x 2 x 3 x 71 x 48 x 181 = 7402176

Least Common Multiple of 426,576,724 with GCF Formula

Least Common Multiple of 426,576,724 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 426,576,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(426,576,724) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(426,576,724) x common factors =2 x 12 = 24

LCM(426,576,724) = ( 426 × 576 × 724 ) / 24

LCM(426,576,724) = 177652224 / 24

LCM(426,576,724) = 7402176


Lets's calculate GCF of 607,204,319

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7402176/1

Therefore the LCM of Fractions 426/607,576/204,724/319 is 7402176

Greatest Common Factor of 607,204,319 By Matching Biggest Common Factor Method

Greatest Common Factor of 607,204,319 By Matching Biggest Common Factor Method

Factors of 607

List of positive integer factors of 607 that divides 607 without a remainder.

1,607

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Greatest Common Factor

We found the factors 607,204,319 . The biggest common factor number is the GCF number.
So the greatest common factor 607,204,319 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 426/607, 576/204, 724/319

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 426/607, 576/204, 724/319?

Answer: LCM of Numerators as per given numbers 426/607, 576/204, 724/319 is

LCM of Numerators i.e. for 426,576,724 is 7402176

GCF of denominators i.e. for 607,204,319 is 1.

Thus, LCM of Fractions is 7402176.Finally, LCM of Fractions for 426/607, 576/204, 724/319 is 7402176.