Least Common Multiple of 163/826, 166/845, 180/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 163/826, 166/845, 180/294 quickly i.e. 2435220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/826, 166/845, 180/294 is 2435220.

LCM(163/826, 166/845, 180/294) = 2435220

LCM of 163/826, 166/845, 180/294

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 163/826,166/845,180/294

Given numbers are 163/826,166/845,180/294

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 163,166,180

Least Common Multiple of Numerators i.e. LCM of 163,166,180 is 2435220.

GCF of Denominators means GCF of 826,845,294 as per the given fractions.

GCF of 826,845,294 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,166,180

LCM of Fractions 163/826,166/845,180/294 is 2435220

2 163, 166, 180
163, 83, 90

∴ So the LCM of the given numbers is 2 x 163 x 83 x 90 = 2435220

Least Common Multiple of 163,166,180 with GCF Formula

Least Common Multiple of 163,166,180 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 163,166,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,166,180) = 1

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

GCF(163,166,180) x common factors =1 x 2 = 2

LCM(163,166,180) = ( 163 × 166 × 180 ) / 2

LCM(163,166,180) = 4870440 / 2

LCM(163,166,180) = 2435220


Lets's calculate GCF of 826,845,294

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2435220/1

Therefore the LCM of Fractions 163/826,166/845,180/294 is 2435220

Greatest Common Factor of 826,845,294 By Matching Biggest Common Factor Method

Greatest Common Factor of 826,845,294 By Matching Biggest Common Factor Method

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

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

Greatest Common Factor

We found the factors 826,845,294 . The biggest common factor number is the GCF number.
So the greatest common factor 826,845,294 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 163/826, 166/845, 180/294

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 163/826, 166/845, 180/294?

Answer: LCM of Numerators as per given numbers 163/826, 166/845, 180/294 is

LCM of Numerators i.e. for 163,166,180 is 2435220

GCF of denominators i.e. for 826,845,294 is 1.

Thus, LCM of Fractions is 2435220.Finally, LCM of Fractions for 163/826, 166/845, 180/294 is 2435220.