Least Common Multiple of 515/38, 192/68, 580/438

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 515/38, 192/68, 580/438 quickly i.e. 1433760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 515/38, 192/68, 580/438 is 1433760.

LCM(515/38, 192/68, 580/438) = 1433760

LCM of 515/38, 192/68, 580/438

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 515/38,192/68,580/438

Given numbers are 515/38,192/68,580/438

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 515,192,580

Least Common Multiple of Numerators i.e. LCM of 515,192,580 is 2867520.

GCF of Denominators means GCF of 38,68,438 as per the given fractions.

GCF of 38,68,438 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 515,192,580

LCM of Fractions 515/38,192/68,580/438 is 1433760

2 515, 192, 580
2 515, 96, 290
5 515, 48, 145
103, 48, 29

∴ So the LCM of the given numbers is 2 x 2 x 5 x 103 x 48 x 29 = 2867520

Least Common Multiple of 515,192,580 with GCF Formula

Least Common Multiple of 515,192,580 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 515,192,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(515,192,580) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(515,192,580) x common factors =1 x 20 = 20

LCM(515,192,580) = ( 515 × 192 × 580 ) / 20

LCM(515,192,580) = 57350400 / 20

LCM(515,192,580) = 2867520


Lets's calculate GCF of 38,68,438

2 38, 68, 438
19, 34, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2867520/2

Therefore the LCM of Fractions 515/38,192/68,580/438 is 1433760

Greatest Common Factor of 38,68,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,68,438 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 38,68,438 . The biggest common factor number is the GCF number.
So the greatest common factor 38,68,438 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 515/38, 192/68, 580/438

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 515/38, 192/68, 580/438?

Answer: LCM of Numerators as per given numbers 515/38, 192/68, 580/438 is

LCM of Numerators i.e. for 515,192,580 is 2867520

GCF of denominators i.e. for 38,68,438 is 2.

Thus, LCM of Fractions is 1433760.Finally, LCM of Fractions for 515/38, 192/68, 580/438 is 1433760.