Least Common Multiple of 432/67, 398/81, 419/535

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/67, 398/81, 419/535 quickly i.e. 36020592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/67, 398/81, 419/535 is 36020592.

LCM(432/67, 398/81, 419/535) = 36020592

LCM of 432/67, 398/81, 419/535

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 432/67,398/81,419/535

Given numbers are 432/67,398/81,419/535

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 432,398,419

Least Common Multiple of Numerators i.e. LCM of 432,398,419 is 36020592.

GCF of Denominators means GCF of 67,81,535 as per the given fractions.

GCF of 67,81,535 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,398,419

LCM of Fractions 432/67,398/81,419/535 is 36020592

2 432, 398, 419
216, 199, 419

∴ So the LCM of the given numbers is 2 x 216 x 199 x 419 = 36020592

Least Common Multiple of 432,398,419 with GCF Formula

Least Common Multiple of 432,398,419 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 432,398,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,398,419) = 1

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

GCF(432,398,419) x common factors =1 x 2 = 2

LCM(432,398,419) = ( 432 × 398 × 419 ) / 2

LCM(432,398,419) = 72041184 / 2

LCM(432,398,419) = 36020592


Lets's calculate GCF of 67,81,535

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36020592/1

Therefore the LCM of Fractions 432/67,398/81,419/535 is 36020592

Greatest Common Factor of 67,81,535 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,81,535 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Greatest Common Factor

We found the factors 67,81,535 . The biggest common factor number is the GCF number.
So the greatest common factor 67,81,535 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 432/67, 398/81, 419/535

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 432/67, 398/81, 419/535?

Answer: LCM of Numerators as per given numbers 432/67, 398/81, 419/535 is

LCM of Numerators i.e. for 432,398,419 is 36020592

GCF of denominators i.e. for 67,81,535 is 1.

Thus, LCM of Fractions is 36020592.Finally, LCM of Fractions for 432/67, 398/81, 419/535 is 36020592.