Least Common Multiple of 29/278, 378/221, 415/299

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/278, 378/221, 415/299 quickly i.e. 4549230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/278, 378/221, 415/299 is 4549230.

LCM(29/278, 378/221, 415/299) = 4549230

LCM of 29/278, 378/221, 415/299

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 29/278,378/221,415/299

Given numbers are 29/278,378/221,415/299

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 29,378,415

Least Common Multiple of Numerators i.e. LCM of 29,378,415 is 4549230.

GCF of Denominators means GCF of 278,221,299 as per the given fractions.

GCF of 278,221,299 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,378,415

LCM of Fractions 29/278,378/221,415/299 is 4549230

Given numbers has no common factors except 1. So, there LCM is their product i.e 4549230

Least Common Multiple of 29,378,415 with GCF Formula

Least Common Multiple of 29,378,415 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 29,378,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,378,415) = 1

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

GCF(29,378,415) x common factors =1 x 1 = 1

LCM(29,378,415) = ( 29 × 378 × 415 ) / 1

LCM(29,378,415) = 4549230 / 1

LCM(29,378,415) = 4549230


Lets's calculate GCF of 278,221,299

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4549230/1

Therefore the LCM of Fractions 29/278,378/221,415/299 is 4549230

Greatest Common Factor of 278,221,299 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,221,299 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Greatest Common Factor

We found the factors 278,221,299 . The biggest common factor number is the GCF number.
So the greatest common factor 278,221,299 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 29/278, 378/221, 415/299

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 29/278, 378/221, 415/299?

Answer: LCM of Numerators as per given numbers 29/278, 378/221, 415/299 is

LCM of Numerators i.e. for 29,378,415 is 4549230

GCF of denominators i.e. for 278,221,299 is 1.

Thus, LCM of Fractions is 4549230.Finally, LCM of Fractions for 29/278, 378/221, 415/299 is 4549230.