Least Common Multiple of 3838/287, 5555/575

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3838/287, 5555/575 quickly i.e. 211090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3838/287, 5555/575 is 211090.

LCM(3838/287, 5555/575) = 211090

LCM of 3838/287, 5555/575

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 3838/287,5555/575

Given numbers are 3838/287,5555/575

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 3838,5555

Least Common Multiple of Numerators i.e. LCM of 3838,5555 is 211090.

GCF of Denominators means GCF of 287,575 as per the given fractions.

GCF of 287,575 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3838,5555

LCM of Fractions 3838/287,5555/575 is 211090

101 3838, 5555
38, 55

∴ So the LCM of the given numbers is 101 x 38 x 55 = 211090

Least Common Multiple of 3838,5555 with GCF Formula

Least Common Multiple of 3838,5555 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 3838,5555 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3838,5555) = 101

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

GCF(3838,5555) x common factors =101 x 1 = 101

LCM(3838,5555) = ( 3838 × 5555 ) / 101

LCM(3838,5555) = 21320090 / 101

LCM(3838,5555) = 211090


Lets's calculate GCF of 287,575

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 211090/1

Therefore the LCM of Fractions 3838/287,5555/575 is 211090

Greatest Common Factor of 287,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,575 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 287,575 . The biggest common factor number is the GCF number.
So the greatest common factor 287,575 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 3838/287, 5555/575

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 3838/287, 5555/575?

Answer: LCM of Numerators as per given numbers 3838/287, 5555/575 is

LCM of Numerators i.e. for 3838,5555 is 211090

GCF of denominators i.e. for 287,575 is 1.

Thus, LCM of Fractions is 211090.Finally, LCM of Fractions for 3838/287, 5555/575 is 211090.