Least Common Multiple of 83/228, 344/71, 585/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/228, 344/71, 585/190 quickly i.e. 16702920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/228, 344/71, 585/190 is 16702920.

LCM(83/228, 344/71, 585/190) = 16702920

LCM of 83/228, 344/71, 585/190

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 83/228,344/71,585/190

Given numbers are 83/228,344/71,585/190

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 83,344,585

Least Common Multiple of Numerators i.e. LCM of 83,344,585 is 16702920.

GCF of Denominators means GCF of 228,71,190 as per the given fractions.

GCF of 228,71,190 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,344,585

LCM of Fractions 83/228,344/71,585/190 is 16702920

Given numbers has no common factors except 1. So, there LCM is their product i.e 16702920

Least Common Multiple of 83,344,585 with GCF Formula

Least Common Multiple of 83,344,585 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 83,344,585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,344,585) = 1

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

GCF(83,344,585) x common factors =1 x 1 = 1

LCM(83,344,585) = ( 83 × 344 × 585 ) / 1

LCM(83,344,585) = 16702920 / 1

LCM(83,344,585) = 16702920


Lets's calculate GCF of 228,71,190

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16702920/1

Therefore the LCM of Fractions 83/228,344/71,585/190 is 16702920

Greatest Common Factor of 228,71,190 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,71,190 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Greatest Common Factor

We found the factors 228,71,190 . The biggest common factor number is the GCF number.
So the greatest common factor 228,71,190 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 83/228, 344/71, 585/190

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 83/228, 344/71, 585/190?

Answer: LCM of Numerators as per given numbers 83/228, 344/71, 585/190 is

LCM of Numerators i.e. for 83,344,585 is 16702920

GCF of denominators i.e. for 228,71,190 is 1.

Thus, LCM of Fractions is 16702920.Finally, LCM of Fractions for 83/228, 344/71, 585/190 is 16702920.