Least Common Multiple of 378/230, 726/583, 520/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 378/230, 726/583, 520/198 quickly i.e. 11891880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 378/230, 726/583, 520/198 is 11891880.

LCM(378/230, 726/583, 520/198) = 11891880

LCM of 378/230, 726/583, 520/198

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 378/230,726/583,520/198

Given numbers are 378/230,726/583,520/198

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 378,726,520

Least Common Multiple of Numerators i.e. LCM of 378,726,520 is 11891880.

GCF of Denominators means GCF of 230,583,198 as per the given fractions.

GCF of 230,583,198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 378,726,520

LCM of Fractions 378/230,726/583,520/198 is 11891880

2 378, 726, 520
3 189, 363, 260
63, 121, 260

∴ So the LCM of the given numbers is 2 x 3 x 63 x 121 x 260 = 11891880

Least Common Multiple of 378,726,520 with GCF Formula

Least Common Multiple of 378,726,520 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 378,726,520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,726,520) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(378,726,520) x common factors =2 x 6 = 12

LCM(378,726,520) = ( 378 × 726 × 520 ) / 12

LCM(378,726,520) = 142702560 / 12

LCM(378,726,520) = 11891880


Lets's calculate GCF of 230,583,198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11891880/1

Therefore the LCM of Fractions 378/230,726/583,520/198 is 11891880

Greatest Common Factor of 230,583,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,583,198 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 230,583,198 . The biggest common factor number is the GCF number.
So the greatest common factor 230,583,198 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 378/230, 726/583, 520/198

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 378/230, 726/583, 520/198?

Answer: LCM of Numerators as per given numbers 378/230, 726/583, 520/198 is

LCM of Numerators i.e. for 378,726,520 is 11891880

GCF of denominators i.e. for 230,583,198 is 1.

Thus, LCM of Fractions is 11891880.Finally, LCM of Fractions for 378/230, 726/583, 520/198 is 11891880.