Least Common Multiple of 419/90, 744/83, 542/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 419/90, 744/83, 542/61 quickly i.e. 84480456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 419/90, 744/83, 542/61 is 84480456.

LCM(419/90, 744/83, 542/61) = 84480456

LCM of 419/90, 744/83, 542/61

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 419/90,744/83,542/61

Given numbers are 419/90,744/83,542/61

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 419,744,542

Least Common Multiple of Numerators i.e. LCM of 419,744,542 is 84480456.

GCF of Denominators means GCF of 90,83,61 as per the given fractions.

GCF of 90,83,61 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 419,744,542

LCM of Fractions 419/90,744/83,542/61 is 84480456

2 419, 744, 542
419, 372, 271

∴ So the LCM of the given numbers is 2 x 419 x 372 x 271 = 84480456

Least Common Multiple of 419,744,542 with GCF Formula

Least Common Multiple of 419,744,542 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 419,744,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,744,542) = 1

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

GCF(419,744,542) x common factors =1 x 2 = 2

LCM(419,744,542) = ( 419 × 744 × 542 ) / 2

LCM(419,744,542) = 168960912 / 2

LCM(419,744,542) = 84480456


Lets's calculate GCF of 90,83,61

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84480456/1

Therefore the LCM of Fractions 419/90,744/83,542/61 is 84480456

Greatest Common Factor of 90,83,61 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,83,61 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 61

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

1,61

Greatest Common Factor

We found the factors 90,83,61 . The biggest common factor number is the GCF number.
So the greatest common factor 90,83,61 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 419/90, 744/83, 542/61

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 419/90, 744/83, 542/61?

Answer: LCM of Numerators as per given numbers 419/90, 744/83, 542/61 is

LCM of Numerators i.e. for 419,744,542 is 84480456

GCF of denominators i.e. for 90,83,61 is 1.

Thus, LCM of Fractions is 84480456.Finally, LCM of Fractions for 419/90, 744/83, 542/61 is 84480456.