Least Common Multiple of 3/80, 3/78, 2/50, 73/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/80, 3/78, 2/50, 73/464 quickly i.e. 219 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/80, 3/78, 2/50, 73/464 is 219.

LCM(3/80, 3/78, 2/50, 73/464) = 219

LCM of 3/80, 3/78, 2/50, 73/464

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 3/80,3/78,2/50,73/464

Given numbers are 3/80,3/78,2/50,73/464

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 3,3,2,73

Least Common Multiple of Numerators i.e. LCM of 3,3,2,73 is 438.

GCF of Denominators means GCF of 80,78,50,464 as per the given fractions.

GCF of 80,78,50,464 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,3,2,73

LCM of Fractions 3/80,3/78,2/50,73/464 is 219

3 3, 3, 2, 73
1, 1, 2, 73

∴ So the LCM of the given numbers is 3 x 1 x 1 x 2 x 73 = 438

Least Common Multiple of 3,3,2,73 with GCF Formula

Least Common Multiple of 3,3,2,73 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 3,3,2,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,3,2,73) = 1

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

GCF(3,3,2,73) x common factors =1 x 3 = 3

LCM(3,3,2,73) = ( 3 × 3 × 2 × 73 ) / 3

LCM(3,3,2,73) = 1314 / 3

LCM(3,3,2,73) = 438


Lets's calculate GCF of 80,78,50,464

2 80, 78, 50, 464
40, 39, 25, 232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 438/2

Therefore the LCM of Fractions 3/80,3/78,2/50,73/464 is 219

Greatest Common Factor of 80,78,50,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,78,50,464 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 80,78,50,464 . The biggest common factor number is the GCF number.
So the greatest common factor 80,78,50,464 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 3/80, 3/78, 2/50, 73/464

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 3/80, 3/78, 2/50, 73/464?

Answer: LCM of Numerators as per given numbers 3/80, 3/78, 2/50, 73/464 is

LCM of Numerators i.e. for 3,3,2,73 is 438

GCF of denominators i.e. for 80,78,50,464 is 2.

Thus, LCM of Fractions is 219.Finally, LCM of Fractions for 3/80, 3/78, 2/50, 73/464 is 219.