Least Common Multiple of 3/75, 4/51, 4/30, 80/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/75, 4/51, 4/30, 80/579 quickly i.e. 80 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/75, 4/51, 4/30, 80/579 is 80.

LCM(3/75, 4/51, 4/30, 80/579) = 80

LCM of 3/75, 4/51, 4/30, 80/579

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 3/75,4/51,4/30,80/579

Given numbers are 3/75,4/51,4/30,80/579

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 3,4,4,80

Least Common Multiple of Numerators i.e. LCM of 3,4,4,80 is 240.

GCF of Denominators means GCF of 75,51,30,579 as per the given fractions.

GCF of 75,51,30,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,4,4,80

LCM of Fractions 3/75,4/51,4/30,80/579 is 80

2 3, 4, 4, 80
2 3, 2, 2, 40
3, 1, 1, 20

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 1 x 20 = 240

Least Common Multiple of 3,4,4,80 with GCF Formula

Least Common Multiple of 3,4,4,80 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 3,4,4,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,4,4,80) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(3,4,4,80) x common factors =1 x 16 = 16

LCM(3,4,4,80) = ( 3 × 4 × 4 × 80 ) / 16

LCM(3,4,4,80) = 3840 / 16

LCM(3,4,4,80) = 240


Lets's calculate GCF of 75,51,30,579

3 75, 51, 30, 579
25, 17, 10, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240/3

Therefore the LCM of Fractions 3/75,4/51,4/30,80/579 is 80

Greatest Common Factor of 75,51,30,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,51,30,579 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 75,51,30,579 . The biggest common factor number is the GCF number.
So the greatest common factor 75,51,30,579 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 3/75, 4/51, 4/30, 80/579

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 3/75, 4/51, 4/30, 80/579?

Answer: LCM of Numerators as per given numbers 3/75, 4/51, 4/30, 80/579 is

LCM of Numerators i.e. for 3,4,4,80 is 240

GCF of denominators i.e. for 75,51,30,579 is 3.

Thus, LCM of Fractions is 80.Finally, LCM of Fractions for 3/75, 4/51, 4/30, 80/579 is 80.