Least Common Multiple of 80/828, 560/349, 352/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/828, 560/349, 352/188 quickly i.e. 12320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/828, 560/349, 352/188 is 12320.

LCM(80/828, 560/349, 352/188) = 12320

LCM of 80/828, 560/349, 352/188

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 80/828,560/349,352/188

Given numbers are 80/828,560/349,352/188

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 80,560,352

Least Common Multiple of Numerators i.e. LCM of 80,560,352 is 12320.

GCF of Denominators means GCF of 828,349,188 as per the given fractions.

GCF of 828,349,188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,560,352

LCM of Fractions 80/828,560/349,352/188 is 12320

2 80, 560, 352
2 40, 280, 176
2 20, 140, 88
2 10, 70, 44
5 5, 35, 22
1, 7, 22

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 5 x 1 x 7 x 22 = 12320

Least Common Multiple of 80,560,352 with GCF Formula

Least Common Multiple of 80,560,352 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 80,560,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,560,352) = 16

common factors(in case of two or more numbers have common factors) = 80

GCF(80,560,352) x common factors =16 x 80 = 1280

LCM(80,560,352) = ( 80 × 560 × 352 ) / 1280

LCM(80,560,352) = 15769600 / 1280

LCM(80,560,352) = 12320


Lets's calculate GCF of 828,349,188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12320/1

Therefore the LCM of Fractions 80/828,560/349,352/188 is 12320

Greatest Common Factor of 828,349,188 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,349,188 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Greatest Common Factor

We found the factors 828,349,188 . The biggest common factor number is the GCF number.
So the greatest common factor 828,349,188 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 80/828, 560/349, 352/188

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 80/828, 560/349, 352/188?

Answer: LCM of Numerators as per given numbers 80/828, 560/349, 352/188 is

LCM of Numerators i.e. for 80,560,352 is 12320

GCF of denominators i.e. for 828,349,188 is 1.

Thus, LCM of Fractions is 12320.Finally, LCM of Fractions for 80/828, 560/349, 352/188 is 12320.