Least Common Multiple of 363/10, 271/83, 678/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/10, 271/83, 678/922 quickly i.e. 22232298 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/10, 271/83, 678/922 is 22232298.

LCM(363/10, 271/83, 678/922) = 22232298

LCM of 363/10, 271/83, 678/922

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 363/10,271/83,678/922

Given numbers are 363/10,271/83,678/922

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 363,271,678

Least Common Multiple of Numerators i.e. LCM of 363,271,678 is 22232298.

GCF of Denominators means GCF of 10,83,922 as per the given fractions.

GCF of 10,83,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,271,678

LCM of Fractions 363/10,271/83,678/922 is 22232298

3 363, 271, 678
121, 271, 226

∴ So the LCM of the given numbers is 3 x 121 x 271 x 226 = 22232298

Least Common Multiple of 363,271,678 with GCF Formula

Least Common Multiple of 363,271,678 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 363,271,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,271,678) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(363,271,678) x common factors =1 x 3 = 3

LCM(363,271,678) = ( 363 × 271 × 678 ) / 3

LCM(363,271,678) = 66696894 / 3

LCM(363,271,678) = 22232298


Lets's calculate GCF of 10,83,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22232298/1

Therefore the LCM of Fractions 363/10,271/83,678/922 is 22232298

Greatest Common Factor of 10,83,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,83,922 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 10,83,922 . The biggest common factor number is the GCF number.
So the greatest common factor 10,83,922 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 363/10, 271/83, 678/922

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 363/10, 271/83, 678/922?

Answer: LCM of Numerators as per given numbers 363/10, 271/83, 678/922 is

LCM of Numerators i.e. for 363,271,678 is 22232298

GCF of denominators i.e. for 10,83,922 is 1.

Thus, LCM of Fractions is 22232298.Finally, LCM of Fractions for 363/10, 271/83, 678/922 is 22232298.