Least Common Multiple of 80/567, 438/955, 299/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/567, 438/955, 299/825 quickly i.e. 5238480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/567, 438/955, 299/825 is 5238480.

LCM(80/567, 438/955, 299/825) = 5238480

LCM of 80/567, 438/955, 299/825

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 80/567,438/955,299/825

Given numbers are 80/567,438/955,299/825

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 80,438,299

Least Common Multiple of Numerators i.e. LCM of 80,438,299 is 5238480.

GCF of Denominators means GCF of 567,955,825 as per the given fractions.

GCF of 567,955,825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,438,299

LCM of Fractions 80/567,438/955,299/825 is 5238480

2 80, 438, 299
40, 219, 299

∴ So the LCM of the given numbers is 2 x 40 x 219 x 299 = 5238480

Least Common Multiple of 80,438,299 with GCF Formula

Least Common Multiple of 80,438,299 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 80,438,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,438,299) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(80,438,299) x common factors =1 x 2 = 2

LCM(80,438,299) = ( 80 × 438 × 299 ) / 2

LCM(80,438,299) = 10476960 / 2

LCM(80,438,299) = 5238480


Lets's calculate GCF of 567,955,825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5238480/1

Therefore the LCM of Fractions 80/567,438/955,299/825 is 5238480

Greatest Common Factor of 567,955,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,955,825 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

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

Greatest Common Factor

We found the factors 567,955,825 . The biggest common factor number is the GCF number.
So the greatest common factor 567,955,825 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 80/567, 438/955, 299/825

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 80/567, 438/955, 299/825?

Answer: LCM of Numerators as per given numbers 80/567, 438/955, 299/825 is

LCM of Numerators i.e. for 80,438,299 is 5238480

GCF of denominators i.e. for 567,955,825 is 1.

Thus, LCM of Fractions is 5238480.Finally, LCM of Fractions for 80/567, 438/955, 299/825 is 5238480.