Least Common Multiple of 80/615, 45/243, 278/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/615, 45/243, 278/717 quickly i.e. 33360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/615, 45/243, 278/717 is 33360.

LCM(80/615, 45/243, 278/717) = 33360

LCM of 80/615, 45/243, 278/717

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 80/615,45/243,278/717

Given numbers are 80/615,45/243,278/717

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 80,45,278

Least Common Multiple of Numerators i.e. LCM of 80,45,278 is 100080.

GCF of Denominators means GCF of 615,243,717 as per the given fractions.

GCF of 615,243,717 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,45,278

LCM of Fractions 80/615,45/243,278/717 is 33360

2 80, 45, 278
5 40, 45, 139
8, 9, 139

∴ So the LCM of the given numbers is 2 x 5 x 8 x 9 x 139 = 100080

Least Common Multiple of 80,45,278 with GCF Formula

Least Common Multiple of 80,45,278 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 80,45,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,45,278) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(80,45,278) x common factors =1 x 10 = 10

LCM(80,45,278) = ( 80 × 45 × 278 ) / 10

LCM(80,45,278) = 1000800 / 10

LCM(80,45,278) = 100080


Lets's calculate GCF of 615,243,717

3 615, 243, 717
205, 81, 239

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100080/3

Therefore the LCM of Fractions 80/615,45/243,278/717 is 33360

Greatest Common Factor of 615,243,717 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,243,717 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Greatest Common Factor

We found the factors 615,243,717 . The biggest common factor number is the GCF number.
So the greatest common factor 615,243,717 is 3.


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 80/615, 45/243, 278/717

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 80/615, 45/243, 278/717?

Answer: LCM of Numerators as per given numbers 80/615, 45/243, 278/717 is

LCM of Numerators i.e. for 80,45,278 is 100080

GCF of denominators i.e. for 615,243,717 is 3.

Thus, LCM of Fractions is 33360.Finally, LCM of Fractions for 80/615, 45/243, 278/717 is 33360.