Least Common Multiple of 38/299, 387/146, 708/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/299, 387/146, 708/187 quickly i.e. 1735308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/299, 387/146, 708/187 is 1735308.

LCM(38/299, 387/146, 708/187) = 1735308

LCM of 38/299, 387/146, 708/187

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 38/299,387/146,708/187

Given numbers are 38/299,387/146,708/187

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 38,387,708

Least Common Multiple of Numerators i.e. LCM of 38,387,708 is 1735308.

GCF of Denominators means GCF of 299,146,187 as per the given fractions.

GCF of 299,146,187 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,387,708

LCM of Fractions 38/299,387/146,708/187 is 1735308

2 38, 387, 708
3 19, 387, 354
19, 129, 118

∴ So the LCM of the given numbers is 2 x 3 x 19 x 129 x 118 = 1735308

Least Common Multiple of 38,387,708 with GCF Formula

Least Common Multiple of 38,387,708 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 38,387,708 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,387,708) = 1

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

GCF(38,387,708) x common factors =1 x 6 = 6

LCM(38,387,708) = ( 38 × 387 × 708 ) / 6

LCM(38,387,708) = 10411848 / 6

LCM(38,387,708) = 1735308


Lets's calculate GCF of 299,146,187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1735308/1

Therefore the LCM of Fractions 38/299,387/146,708/187 is 1735308

Greatest Common Factor of 299,146,187 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,146,187 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 187

List of positive integer factors of 187 that divides 187 without a remainder.

1,11,17,187

Greatest Common Factor

We found the factors 299,146,187 . The biggest common factor number is the GCF number.
So the greatest common factor 299,146,187 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 38/299, 387/146, 708/187

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 38/299, 387/146, 708/187?

Answer: LCM of Numerators as per given numbers 38/299, 387/146, 708/187 is

LCM of Numerators i.e. for 38,387,708 is 1735308

GCF of denominators i.e. for 299,146,187 is 1.

Thus, LCM of Fractions is 1735308.Finally, LCM of Fractions for 38/299, 387/146, 708/187 is 1735308.