Least Common Multiple of 32/598, 107/434, 321/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/598, 107/434, 321/414 quickly i.e. 5136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/598, 107/434, 321/414 is 5136.

LCM(32/598, 107/434, 321/414) = 5136

LCM of 32/598, 107/434, 321/414

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 32/598,107/434,321/414

Given numbers are 32/598,107/434,321/414

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 32,107,321

Least Common Multiple of Numerators i.e. LCM of 32,107,321 is 10272.

GCF of Denominators means GCF of 598,434,414 as per the given fractions.

GCF of 598,434,414 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,107,321

LCM of Fractions 32/598,107/434,321/414 is 5136

107 32, 107, 321
32, 1, 3

∴ So the LCM of the given numbers is 107 x 32 x 1 x 3 = 10272

Least Common Multiple of 32,107,321 with GCF Formula

Least Common Multiple of 32,107,321 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 32,107,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,107,321) = 1

common factors(in case of two or more numbers have common factors) = 107

GCF(32,107,321) x common factors =1 x 107 = 107

LCM(32,107,321) = ( 32 × 107 × 321 ) / 107

LCM(32,107,321) = 1099104 / 107

LCM(32,107,321) = 10272


Lets's calculate GCF of 598,434,414

2 598, 434, 414
299, 217, 207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10272/2

Therefore the LCM of Fractions 32/598,107/434,321/414 is 5136

Greatest Common Factor of 598,434,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,434,414 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 598,434,414 . The biggest common factor number is the GCF number.
So the greatest common factor 598,434,414 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 32/598, 107/434, 321/414

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 32/598, 107/434, 321/414?

Answer: LCM of Numerators as per given numbers 32/598, 107/434, 321/414 is

LCM of Numerators i.e. for 32,107,321 is 10272

GCF of denominators i.e. for 598,434,414 is 2.

Thus, LCM of Fractions is 5136.Finally, LCM of Fractions for 32/598, 107/434, 321/414 is 5136.