Least Common Multiple of 205/238, 2140/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/238, 2140/449 quickly i.e. 87740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/238, 2140/449 is 87740.

LCM(205/238, 2140/449) = 87740

LCM of 205/238, 2140/449

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 205/238,2140/449

Given numbers are 205/238,2140/449

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 205,2140

Least Common Multiple of Numerators i.e. LCM of 205,2140 is 87740.

GCF of Denominators means GCF of 238,449 as per the given fractions.

GCF of 238,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,2140

LCM of Fractions 205/238,2140/449 is 87740

5 205, 2140
41, 428

∴ So the LCM of the given numbers is 5 x 41 x 428 = 87740

Least Common Multiple of 205,2140 with GCF Formula

Least Common Multiple of 205,2140 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 205,2140 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,2140) = 5

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

GCF(205,2140) x common factors =5 x 1 = 5

LCM(205,2140) = ( 205 × 2140 ) / 5

LCM(205,2140) = 438700 / 5

LCM(205,2140) = 87740


Lets's calculate GCF of 238,449

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87740/1

Therefore the LCM of Fractions 205/238,2140/449 is 87740

Greatest Common Factor of 238,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 238,449 By Matching Biggest Common Factor Method

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 238,449 . The biggest common factor number is the GCF number.
So the greatest common factor 238,449 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 205/238, 2140/449

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 205/238, 2140/449?

Answer: LCM of Numerators as per given numbers 205/238, 2140/449 is

LCM of Numerators i.e. for 205,2140 is 87740

GCF of denominators i.e. for 238,449 is 1.

Thus, LCM of Fractions is 87740.Finally, LCM of Fractions for 205/238, 2140/449 is 87740.