Least Common Multiple of 180/825, 8343/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 180/825, 8343/385 quickly i.e. 166860/55 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 180/825, 8343/385 is 166860/55.

LCM(180/825, 8343/385) = 166860/55

LCM of 180/825, 8343/385

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 180/825,8343/385

Given numbers are 180/825,8343/385

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 180,8343

Least Common Multiple of Numerators i.e. LCM of 180,8343 is 166860.

GCF of Denominators means GCF of 825,385 as per the given fractions.

GCF of 825,385 is 55 as it is the largest common factor for these numbers.

Lets's calculate LCM of 180,8343

LCM of Fractions 180/825,8343/385 is 166860/55

3 180, 8343
3 60, 2781
20, 927

∴ So the LCM of the given numbers is 3 x 3 x 20 x 927 = 166860

Least Common Multiple of 180,8343 with GCF Formula

Least Common Multiple of 180,8343 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 180,8343 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,8343) = 9

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

GCF(180,8343) x common factors =9 x 1 = 9

LCM(180,8343) = ( 180 × 8343 ) / 9

LCM(180,8343) = 1501740 / 9

LCM(180,8343) = 166860


Lets's calculate GCF of 825,385

5 825, 385
11 165, 77
15, 7

∴ So the GCF of the given numbers is 5 x 11 = 55

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166860/55

Therefore the LCM of Fractions 180/825,8343/385 is 166860/55

Greatest Common Factor of 825,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,385 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 825,385 . The biggest common factor number is the GCF number.
So the greatest common factor 825,385 is 55.


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 180/825, 8343/385

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 180/825, 8343/385?

Answer: LCM of Numerators as per given numbers 180/825, 8343/385 is

LCM of Numerators i.e. for 180,8343 is 166860

GCF of denominators i.e. for 825,385 is 55.

Thus, LCM of Fractions is 166860/55.Finally, LCM of Fractions for 180/825, 8343/385 is 166860/55.