Least Common Multiple of 707/61, 394/39, 424/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 707/61, 394/39, 424/329 quickly i.e. 59054296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 707/61, 394/39, 424/329 is 59054296.

LCM(707/61, 394/39, 424/329) = 59054296

LCM of 707/61, 394/39, 424/329

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 707/61,394/39,424/329

Given numbers are 707/61,394/39,424/329

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 707,394,424

Least Common Multiple of Numerators i.e. LCM of 707,394,424 is 59054296.

GCF of Denominators means GCF of 61,39,329 as per the given fractions.

GCF of 61,39,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 707,394,424

LCM of Fractions 707/61,394/39,424/329 is 59054296

2 707, 394, 424
707, 197, 212

∴ So the LCM of the given numbers is 2 x 707 x 197 x 212 = 59054296

Least Common Multiple of 707,394,424 with GCF Formula

Least Common Multiple of 707,394,424 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 707,394,424 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(707,394,424) = 1

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

GCF(707,394,424) x common factors =1 x 2 = 2

LCM(707,394,424) = ( 707 × 394 × 424 ) / 2

LCM(707,394,424) = 118108592 / 2

LCM(707,394,424) = 59054296


Lets's calculate GCF of 61,39,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59054296/1

Therefore the LCM of Fractions 707/61,394/39,424/329 is 59054296

Greatest Common Factor of 61,39,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,39,329 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 329

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

1,7,47,329

Greatest Common Factor

We found the factors 61,39,329 . The biggest common factor number is the GCF number.
So the greatest common factor 61,39,329 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 707/61, 394/39, 424/329

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 707/61, 394/39, 424/329?

Answer: LCM of Numerators as per given numbers 707/61, 394/39, 424/329 is

LCM of Numerators i.e. for 707,394,424 is 59054296

GCF of denominators i.e. for 61,39,329 is 1.

Thus, LCM of Fractions is 59054296.Finally, LCM of Fractions for 707/61, 394/39, 424/329 is 59054296.