Least Common Multiple of 286/375, 7194/480

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/375, 7194/480 quickly i.e. 93522/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/375, 7194/480 is 93522/15.

LCM(286/375, 7194/480) = 93522/15

LCM of 286/375, 7194/480

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 286/375,7194/480

Given numbers are 286/375,7194/480

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 286,7194

Least Common Multiple of Numerators i.e. LCM of 286,7194 is 93522.

GCF of Denominators means GCF of 375,480 as per the given fractions.

GCF of 375,480 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,7194

LCM of Fractions 286/375,7194/480 is 93522/15

2 286, 7194
11 143, 3597
13, 327

∴ So the LCM of the given numbers is 2 x 11 x 13 x 327 = 93522

Least Common Multiple of 286,7194 with GCF Formula

Least Common Multiple of 286,7194 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 286,7194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,7194) = 22

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

GCF(286,7194) x common factors =22 x 1 = 22

LCM(286,7194) = ( 286 × 7194 ) / 22

LCM(286,7194) = 2057484 / 22

LCM(286,7194) = 93522


Lets's calculate GCF of 375,480

3 375, 480
5 125, 160
25, 32

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 93522/15

Therefore the LCM of Fractions 286/375,7194/480 is 93522/15

Greatest Common Factor of 375,480 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,480 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Greatest Common Factor

We found the factors 375,480 . The biggest common factor number is the GCF number.
So the greatest common factor 375,480 is 15.


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 286/375, 7194/480

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 286/375, 7194/480?

Answer: LCM of Numerators as per given numbers 286/375, 7194/480 is

LCM of Numerators i.e. for 286,7194 is 93522

GCF of denominators i.e. for 375,480 is 15.

Thus, LCM of Fractions is 93522/15.Finally, LCM of Fractions for 286/375, 7194/480 is 93522/15.