Least Common Multiple of 814/535, 392/612, 413/547

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/535, 392/612, 413/547 quickly i.e. 9413096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/535, 392/612, 413/547 is 9413096.

LCM(814/535, 392/612, 413/547) = 9413096

LCM of 814/535, 392/612, 413/547

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 814/535,392/612,413/547

Given numbers are 814/535,392/612,413/547

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 814,392,413

Least Common Multiple of Numerators i.e. LCM of 814,392,413 is 9413096.

GCF of Denominators means GCF of 535,612,547 as per the given fractions.

GCF of 535,612,547 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,392,413

LCM of Fractions 814/535,392/612,413/547 is 9413096

2 814, 392, 413
7 407, 196, 413
407, 28, 59

∴ So the LCM of the given numbers is 2 x 7 x 407 x 28 x 59 = 9413096

Least Common Multiple of 814,392,413 with GCF Formula

Least Common Multiple of 814,392,413 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 814,392,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,392,413) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(814,392,413) x common factors =1 x 14 = 14

LCM(814,392,413) = ( 814 × 392 × 413 ) / 14

LCM(814,392,413) = 131783344 / 14

LCM(814,392,413) = 9413096


Lets's calculate GCF of 535,612,547

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9413096/1

Therefore the LCM of Fractions 814/535,392/612,413/547 is 9413096

Greatest Common Factor of 535,612,547 By Matching Biggest Common Factor Method

Greatest Common Factor of 535,612,547 By Matching Biggest Common Factor Method

Factors of 535

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

1,5,107,535

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 547

List of positive integer factors of 547 that divides 547 without a remainder.

1,547

Greatest Common Factor

We found the factors 535,612,547 . The biggest common factor number is the GCF number.
So the greatest common factor 535,612,547 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 814/535, 392/612, 413/547

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 814/535, 392/612, 413/547?

Answer: LCM of Numerators as per given numbers 814/535, 392/612, 413/547 is

LCM of Numerators i.e. for 814,392,413 is 9413096

GCF of denominators i.e. for 535,612,547 is 1.

Thus, LCM of Fractions is 9413096.Finally, LCM of Fractions for 814/535, 392/612, 413/547 is 9413096.