Least Common Multiple of 680/675, 192/576, 171/428

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 680/675, 192/576, 171/428 quickly i.e. 930240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 680/675, 192/576, 171/428 is 930240.

LCM(680/675, 192/576, 171/428) = 930240

LCM of 680/675, 192/576, 171/428

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 680/675,192/576,171/428

Given numbers are 680/675,192/576,171/428

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 680,192,171

Least Common Multiple of Numerators i.e. LCM of 680,192,171 is 930240.

GCF of Denominators means GCF of 675,576,428 as per the given fractions.

GCF of 675,576,428 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 680,192,171

LCM of Fractions 680/675,192/576,171/428 is 930240

2 680, 192, 171
2 340, 96, 171
2 170, 48, 171
3 85, 24, 171
85, 8, 57

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 85 x 8 x 57 = 930240

Least Common Multiple of 680,192,171 with GCF Formula

Least Common Multiple of 680,192,171 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 680,192,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(680,192,171) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(680,192,171) x common factors =1 x 24 = 24

LCM(680,192,171) = ( 680 × 192 × 171 ) / 24

LCM(680,192,171) = 22325760 / 24

LCM(680,192,171) = 930240


Lets's calculate GCF of 675,576,428

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 930240/1

Therefore the LCM of Fractions 680/675,192/576,171/428 is 930240

Greatest Common Factor of 675,576,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,576,428 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 675,576,428 . The biggest common factor number is the GCF number.
So the greatest common factor 675,576,428 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 680/675, 192/576, 171/428

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 680/675, 192/576, 171/428?

Answer: LCM of Numerators as per given numbers 680/675, 192/576, 171/428 is

LCM of Numerators i.e. for 680,192,171 is 930240

GCF of denominators i.e. for 675,576,428 is 1.

Thus, LCM of Fractions is 930240.Finally, LCM of Fractions for 680/675, 192/576, 171/428 is 930240.