Least Common Multiple of 534/242, 349/467, 352/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 534/242, 349/467, 352/788 quickly i.e. 32800416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/242, 349/467, 352/788 is 32800416.

LCM(534/242, 349/467, 352/788) = 32800416

LCM of 534/242, 349/467, 352/788

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 534/242,349/467,352/788

Given numbers are 534/242,349/467,352/788

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 534,349,352

Least Common Multiple of Numerators i.e. LCM of 534,349,352 is 32800416.

GCF of Denominators means GCF of 242,467,788 as per the given fractions.

GCF of 242,467,788 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,349,352

LCM of Fractions 534/242,349/467,352/788 is 32800416

2 534, 349, 352
267, 349, 176

∴ So the LCM of the given numbers is 2 x 267 x 349 x 176 = 32800416

Least Common Multiple of 534,349,352 with GCF Formula

Least Common Multiple of 534,349,352 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 534,349,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,349,352) = 1

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

GCF(534,349,352) x common factors =1 x 2 = 2

LCM(534,349,352) = ( 534 × 349 × 352 ) / 2

LCM(534,349,352) = 65600832 / 2

LCM(534,349,352) = 32800416


Lets's calculate GCF of 242,467,788

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32800416/1

Therefore the LCM of Fractions 534/242,349/467,352/788 is 32800416

Greatest Common Factor of 242,467,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,467,788 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 242,467,788 . The biggest common factor number is the GCF number.
So the greatest common factor 242,467,788 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 534/242, 349/467, 352/788

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 534/242, 349/467, 352/788?

Answer: LCM of Numerators as per given numbers 534/242, 349/467, 352/788 is

LCM of Numerators i.e. for 534,349,352 is 32800416

GCF of denominators i.e. for 242,467,788 is 1.

Thus, LCM of Fractions is 32800416.Finally, LCM of Fractions for 534/242, 349/467, 352/788 is 32800416.