Least Common Multiple of 414/73, 324/35, 438/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/73, 324/35, 438/919 quickly i.e. 543996 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/73, 324/35, 438/919 is 543996.

LCM(414/73, 324/35, 438/919) = 543996

LCM of 414/73, 324/35, 438/919

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 414/73,324/35,438/919

Given numbers are 414/73,324/35,438/919

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 414,324,438

Least Common Multiple of Numerators i.e. LCM of 414,324,438 is 543996.

GCF of Denominators means GCF of 73,35,919 as per the given fractions.

GCF of 73,35,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,324,438

LCM of Fractions 414/73,324/35,438/919 is 543996

2 414, 324, 438
3 207, 162, 219
3 69, 54, 73
23, 18, 73

∴ So the LCM of the given numbers is 2 x 3 x 3 x 23 x 18 x 73 = 543996

Least Common Multiple of 414,324,438 with GCF Formula

Least Common Multiple of 414,324,438 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 414,324,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,324,438) = 6

common factors(in case of two or more numbers have common factors) = 18

GCF(414,324,438) x common factors =6 x 18 = 108

LCM(414,324,438) = ( 414 × 324 × 438 ) / 108

LCM(414,324,438) = 58751568 / 108

LCM(414,324,438) = 543996


Lets's calculate GCF of 73,35,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543996/1

Therefore the LCM of Fractions 414/73,324/35,438/919 is 543996

Greatest Common Factor of 73,35,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,35,919 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 73,35,919 . The biggest common factor number is the GCF number.
So the greatest common factor 73,35,919 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 414/73, 324/35, 438/919

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 414/73, 324/35, 438/919?

Answer: LCM of Numerators as per given numbers 414/73, 324/35, 438/919 is

LCM of Numerators i.e. for 414,324,438 is 543996

GCF of denominators i.e. for 73,35,919 is 1.

Thus, LCM of Fractions is 543996.Finally, LCM of Fractions for 414/73, 324/35, 438/919 is 543996.