Least Common Multiple of 83/242, 89/506, 464/193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/242, 89/506, 464/193 quickly i.e. 3427568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/242, 89/506, 464/193 is 3427568.

LCM(83/242, 89/506, 464/193) = 3427568

LCM of 83/242, 89/506, 464/193

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 83/242,89/506,464/193

Given numbers are 83/242,89/506,464/193

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 83,89,464

Least Common Multiple of Numerators i.e. LCM of 83,89,464 is 3427568.

GCF of Denominators means GCF of 242,506,193 as per the given fractions.

GCF of 242,506,193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,89,464

LCM of Fractions 83/242,89/506,464/193 is 3427568

Given numbers has no common factors except 1. So, there LCM is their product i.e 3427568

Least Common Multiple of 83,89,464 with GCF Formula

Least Common Multiple of 83,89,464 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 83,89,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,89,464) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,89,464) x common factors =1 x 1 = 1

LCM(83,89,464) = ( 83 × 89 × 464 ) / 1

LCM(83,89,464) = 3427568 / 1

LCM(83,89,464) = 3427568


Lets's calculate GCF of 242,506,193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3427568/1

Therefore the LCM of Fractions 83/242,89/506,464/193 is 3427568

Greatest Common Factor of 242,506,193 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,506,193 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 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Greatest Common Factor

We found the factors 242,506,193 . The biggest common factor number is the GCF number.
So the greatest common factor 242,506,193 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 83/242, 89/506, 464/193

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 83/242, 89/506, 464/193?

Answer: LCM of Numerators as per given numbers 83/242, 89/506, 464/193 is

LCM of Numerators i.e. for 83,89,464 is 3427568

GCF of denominators i.e. for 242,506,193 is 1.

Thus, LCM of Fractions is 3427568.Finally, LCM of Fractions for 83/242, 89/506, 464/193 is 3427568.