Least Common Multiple of 548/14, 229/30, 287/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 548/14, 229/30, 287/332 quickly i.e. 18008102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 548/14, 229/30, 287/332 is 18008102.

LCM(548/14, 229/30, 287/332) = 18008102

LCM of 548/14, 229/30, 287/332

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 548/14,229/30,287/332

Given numbers are 548/14,229/30,287/332

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 548,229,287

Least Common Multiple of Numerators i.e. LCM of 548,229,287 is 36016204.

GCF of Denominators means GCF of 14,30,332 as per the given fractions.

GCF of 14,30,332 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 548,229,287

LCM of Fractions 548/14,229/30,287/332 is 18008102

Given numbers has no common factors except 1. So, there LCM is their product i.e 36016204

Least Common Multiple of 548,229,287 with GCF Formula

Least Common Multiple of 548,229,287 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 548,229,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(548,229,287) = 1

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

GCF(548,229,287) x common factors =1 x 1 = 1

LCM(548,229,287) = ( 548 × 229 × 287 ) / 1

LCM(548,229,287) = 36016204 / 1

LCM(548,229,287) = 36016204


Lets's calculate GCF of 14,30,332

2 14, 30, 332
7, 15, 166

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36016204/2

Therefore the LCM of Fractions 548/14,229/30,287/332 is 18008102

Greatest Common Factor of 14,30,332 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,30,332 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Greatest Common Factor

We found the factors 14,30,332 . The biggest common factor number is the GCF number.
So the greatest common factor 14,30,332 is 2.


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 548/14, 229/30, 287/332

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 548/14, 229/30, 287/332?

Answer: LCM of Numerators as per given numbers 548/14, 229/30, 287/332 is

LCM of Numerators i.e. for 548,229,287 is 36016204

GCF of denominators i.e. for 14,30,332 is 2.

Thus, LCM of Fractions is 18008102.Finally, LCM of Fractions for 548/14, 229/30, 287/332 is 18008102.