Least Common Multiple of 206/294, 300/166, 826/317

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 206/294, 300/166, 826/317 quickly i.e. 12761700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 206/294, 300/166, 826/317 is 12761700.

LCM(206/294, 300/166, 826/317) = 12761700

LCM of 206/294, 300/166, 826/317

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 206/294,300/166,826/317

Given numbers are 206/294,300/166,826/317

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 206,300,826

Least Common Multiple of Numerators i.e. LCM of 206,300,826 is 12761700.

GCF of Denominators means GCF of 294,166,317 as per the given fractions.

GCF of 294,166,317 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 206,300,826

LCM of Fractions 206/294,300/166,826/317 is 12761700

2 206, 300, 826
103, 150, 413

∴ So the LCM of the given numbers is 2 x 103 x 150 x 413 = 12761700

Least Common Multiple of 206,300,826 with GCF Formula

Least Common Multiple of 206,300,826 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 206,300,826 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(206,300,826) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(206,300,826) x common factors =2 x 2 = 4

LCM(206,300,826) = ( 206 × 300 × 826 ) / 4

LCM(206,300,826) = 51046800 / 4

LCM(206,300,826) = 12761700


Lets's calculate GCF of 294,166,317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12761700/1

Therefore the LCM of Fractions 206/294,300/166,826/317 is 12761700

Greatest Common Factor of 294,166,317 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,166,317 By Matching Biggest Common Factor Method

Factors of 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Greatest Common Factor

We found the factors 294,166,317 . The biggest common factor number is the GCF number.
So the greatest common factor 294,166,317 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 206/294, 300/166, 826/317

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 206/294, 300/166, 826/317?

Answer: LCM of Numerators as per given numbers 206/294, 300/166, 826/317 is

LCM of Numerators i.e. for 206,300,826 is 12761700

GCF of denominators i.e. for 294,166,317 is 1.

Thus, LCM of Fractions is 12761700.Finally, LCM of Fractions for 206/294, 300/166, 826/317 is 12761700.