Least Common Multiple of 80/206, 2405/7292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/206, 2405/7292 quickly i.e. 19240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/206, 2405/7292 is 19240.

LCM(80/206, 2405/7292) = 19240

LCM of 80/206, 2405/7292

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 80/206,2405/7292

Given numbers are 80/206,2405/7292

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 80,2405

Least Common Multiple of Numerators i.e. LCM of 80,2405 is 38480.

GCF of Denominators means GCF of 206,7292 as per the given fractions.

GCF of 206,7292 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,2405

LCM of Fractions 80/206,2405/7292 is 19240

5 80, 2405
16, 481

∴ So the LCM of the given numbers is 5 x 16 x 481 = 38480

Least Common Multiple of 80,2405 with GCF Formula

Least Common Multiple of 80,2405 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 80,2405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,2405) = 5

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

GCF(80,2405) x common factors =5 x 1 = 5

LCM(80,2405) = ( 80 × 2405 ) / 5

LCM(80,2405) = 192400 / 5

LCM(80,2405) = 38480


Lets's calculate GCF of 206,7292

2 206, 7292
103, 3646

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38480/2

Therefore the LCM of Fractions 80/206,2405/7292 is 19240

Greatest Common Factor of 206,7292 By Matching Biggest Common Factor Method

Greatest Common Factor of 206,7292 By Matching Biggest Common Factor Method

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Factors of 7292

List of positive integer factors of 7292 that divides 7292 without a remainder.

1,2,4,1823,3646,7292

Greatest Common Factor

We found the factors 206,7292 . The biggest common factor number is the GCF number.
So the greatest common factor 206,7292 is 2.


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 80/206, 2405/7292

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 80/206, 2405/7292?

Answer: LCM of Numerators as per given numbers 80/206, 2405/7292 is

LCM of Numerators i.e. for 80,2405 is 38480

GCF of denominators i.e. for 206,7292 is 2.

Thus, LCM of Fractions is 19240.Finally, LCM of Fractions for 80/206, 2405/7292 is 19240.