Least Common Multiple of 83/345, 93/715, 867/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/345, 93/715, 867/480 quickly i.e. 2230791/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/345, 93/715, 867/480 is 2230791/5.

LCM(83/345, 93/715, 867/480) = 2230791/5

LCM of 83/345, 93/715, 867/480

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 83/345,93/715,867/480

Given numbers are 83/345,93/715,867/480

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 83,93,867

Least Common Multiple of Numerators i.e. LCM of 83,93,867 is 2230791.

GCF of Denominators means GCF of 345,715,480 as per the given fractions.

GCF of 345,715,480 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,93,867

LCM of Fractions 83/345,93/715,867/480 is 2230791/5

3 83, 93, 867
83, 31, 289

∴ So the LCM of the given numbers is 3 x 83 x 31 x 289 = 2230791

Least Common Multiple of 83,93,867 with GCF Formula

Least Common Multiple of 83,93,867 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 83,93,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,93,867) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(83,93,867) x common factors =1 x 3 = 3

LCM(83,93,867) = ( 83 × 93 × 867 ) / 3

LCM(83,93,867) = 6692373 / 3

LCM(83,93,867) = 2230791


Lets's calculate GCF of 345,715,480

5 345, 715, 480
69, 143, 96

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2230791/5

Therefore the LCM of Fractions 83/345,93/715,867/480 is 2230791/5

Greatest Common Factor of 345,715,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,715,480 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 345,715,480 . The biggest common factor number is the GCF number.
So the greatest common factor 345,715,480 is 5.


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 83/345, 93/715, 867/480

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 83/345, 93/715, 867/480?

Answer: LCM of Numerators as per given numbers 83/345, 93/715, 867/480 is

LCM of Numerators i.e. for 83,93,867 is 2230791

GCF of denominators i.e. for 345,715,480 is 5.

Thus, LCM of Fractions is 2230791/5.Finally, LCM of Fractions for 83/345, 93/715, 867/480 is 2230791/5.