Least Common Multiple of 80/45, 817/18, 279/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/45, 817/18, 279/760 quickly i.e. 18235440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/45, 817/18, 279/760 is 18235440.

LCM(80/45, 817/18, 279/760) = 18235440

LCM of 80/45, 817/18, 279/760

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 80/45,817/18,279/760

Given numbers are 80/45,817/18,279/760

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 80,817,279

Least Common Multiple of Numerators i.e. LCM of 80,817,279 is 18235440.

GCF of Denominators means GCF of 45,18,760 as per the given fractions.

GCF of 45,18,760 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,817,279

LCM of Fractions 80/45,817/18,279/760 is 18235440

Given numbers has no common factors except 1. So, there LCM is their product i.e 18235440

Least Common Multiple of 80,817,279 with GCF Formula

Least Common Multiple of 80,817,279 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 80,817,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,817,279) = 1

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

GCF(80,817,279) x common factors =1 x 1 = 1

LCM(80,817,279) = ( 80 × 817 × 279 ) / 1

LCM(80,817,279) = 18235440 / 1

LCM(80,817,279) = 18235440


Lets's calculate GCF of 45,18,760

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18235440/1

Therefore the LCM of Fractions 80/45,817/18,279/760 is 18235440

Greatest Common Factor of 45,18,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,18,760 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 45,18,760 . The biggest common factor number is the GCF number.
So the greatest common factor 45,18,760 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 80/45, 817/18, 279/760

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 80/45, 817/18, 279/760?

Answer: LCM of Numerators as per given numbers 80/45, 817/18, 279/760 is

LCM of Numerators i.e. for 80,817,279 is 18235440

GCF of denominators i.e. for 45,18,760 is 1.

Thus, LCM of Fractions is 18235440.Finally, LCM of Fractions for 80/45, 817/18, 279/760 is 18235440.