Least Common Multiple of 278/21, 213/79, 329/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 278/21, 213/79, 329/447 quickly i.e. 19481406 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 278/21, 213/79, 329/447 is 19481406.

LCM(278/21, 213/79, 329/447) = 19481406

LCM of 278/21, 213/79, 329/447

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 278/21,213/79,329/447

Given numbers are 278/21,213/79,329/447

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 278,213,329

Least Common Multiple of Numerators i.e. LCM of 278,213,329 is 19481406.

GCF of Denominators means GCF of 21,79,447 as per the given fractions.

GCF of 21,79,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 278,213,329

LCM of Fractions 278/21,213/79,329/447 is 19481406

Given numbers has no common factors except 1. So, there LCM is their product i.e 19481406

Least Common Multiple of 278,213,329 with GCF Formula

Least Common Multiple of 278,213,329 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 278,213,329 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(278,213,329) = 1

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

GCF(278,213,329) x common factors =1 x 1 = 1

LCM(278,213,329) = ( 278 × 213 × 329 ) / 1

LCM(278,213,329) = 19481406 / 1

LCM(278,213,329) = 19481406


Lets's calculate GCF of 21,79,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19481406/1

Therefore the LCM of Fractions 278/21,213/79,329/447 is 19481406

Greatest Common Factor of 21,79,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,79,447 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 21,79,447 . The biggest common factor number is the GCF number.
So the greatest common factor 21,79,447 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 278/21, 213/79, 329/447

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 278/21, 213/79, 329/447?

Answer: LCM of Numerators as per given numbers 278/21, 213/79, 329/447 is

LCM of Numerators i.e. for 278,213,329 is 19481406

GCF of denominators i.e. for 21,79,447 is 1.

Thus, LCM of Fractions is 19481406.Finally, LCM of Fractions for 278/21, 213/79, 329/447 is 19481406.