Least Common Multiple of 75/13, 360/35, 438/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/13, 360/35, 438/774 quickly i.e. 131400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/13, 360/35, 438/774 is 131400.

LCM(75/13, 360/35, 438/774) = 131400

LCM of 75/13, 360/35, 438/774

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 75/13,360/35,438/774

Given numbers are 75/13,360/35,438/774

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 75,360,438

Least Common Multiple of Numerators i.e. LCM of 75,360,438 is 131400.

GCF of Denominators means GCF of 13,35,774 as per the given fractions.

GCF of 13,35,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,360,438

LCM of Fractions 75/13,360/35,438/774 is 131400

2 75, 360, 438
3 75, 180, 219
5 25, 60, 73
5, 12, 73

∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 12 x 73 = 131400

Least Common Multiple of 75,360,438 with GCF Formula

Least Common Multiple of 75,360,438 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 75,360,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,360,438) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(75,360,438) x common factors =3 x 30 = 90

LCM(75,360,438) = ( 75 × 360 × 438 ) / 90

LCM(75,360,438) = 11826000 / 90

LCM(75,360,438) = 131400


Lets's calculate GCF of 13,35,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131400/1

Therefore the LCM of Fractions 75/13,360/35,438/774 is 131400

Greatest Common Factor of 13,35,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,35,774 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 13,35,774 . The biggest common factor number is the GCF number.
So the greatest common factor 13,35,774 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 75/13, 360/35, 438/774

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 75/13, 360/35, 438/774?

Answer: LCM of Numerators as per given numbers 75/13, 360/35, 438/774 is

LCM of Numerators i.e. for 75,360,438 is 131400

GCF of denominators i.e. for 13,35,774 is 1.

Thus, LCM of Fractions is 131400.Finally, LCM of Fractions for 75/13, 360/35, 438/774 is 131400.