Least Common Multiple of 817/269, 842/626, 432/454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/269, 842/626, 432/454 quickly i.e. 148589424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/269, 842/626, 432/454 is 148589424.

LCM(817/269, 842/626, 432/454) = 148589424

LCM of 817/269, 842/626, 432/454

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 817/269,842/626,432/454

Given numbers are 817/269,842/626,432/454

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 817,842,432

Least Common Multiple of Numerators i.e. LCM of 817,842,432 is 148589424.

GCF of Denominators means GCF of 269,626,454 as per the given fractions.

GCF of 269,626,454 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,842,432

LCM of Fractions 817/269,842/626,432/454 is 148589424

2 817, 842, 432
817, 421, 216

∴ So the LCM of the given numbers is 2 x 817 x 421 x 216 = 148589424

Least Common Multiple of 817,842,432 with GCF Formula

Least Common Multiple of 817,842,432 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 817,842,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,842,432) = 1

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

GCF(817,842,432) x common factors =1 x 2 = 2

LCM(817,842,432) = ( 817 × 842 × 432 ) / 2

LCM(817,842,432) = 297178848 / 2

LCM(817,842,432) = 148589424


Lets's calculate GCF of 269,626,454

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148589424/1

Therefore the LCM of Fractions 817/269,842/626,432/454 is 148589424

Greatest Common Factor of 269,626,454 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,626,454 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 626

List of positive integer factors of 626 that divides 626 without a remainder.

1,2,313,626

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Greatest Common Factor

We found the factors 269,626,454 . The biggest common factor number is the GCF number.
So the greatest common factor 269,626,454 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 817/269, 842/626, 432/454

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 817/269, 842/626, 432/454?

Answer: LCM of Numerators as per given numbers 817/269, 842/626, 432/454 is

LCM of Numerators i.e. for 817,842,432 is 148589424

GCF of denominators i.e. for 269,626,454 is 1.

Thus, LCM of Fractions is 148589424.Finally, LCM of Fractions for 817/269, 842/626, 432/454 is 148589424.