Least Common Multiple of 38/188, 803/349, 464/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/188, 803/349, 464/213 quickly i.e. 7079248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/188, 803/349, 464/213 is 7079248.

LCM(38/188, 803/349, 464/213) = 7079248

LCM of 38/188, 803/349, 464/213

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 38/188,803/349,464/213

Given numbers are 38/188,803/349,464/213

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 38,803,464

Least Common Multiple of Numerators i.e. LCM of 38,803,464 is 7079248.

GCF of Denominators means GCF of 188,349,213 as per the given fractions.

GCF of 188,349,213 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,803,464

LCM of Fractions 38/188,803/349,464/213 is 7079248

2 38, 803, 464
19, 803, 232

∴ So the LCM of the given numbers is 2 x 19 x 803 x 232 = 7079248

Least Common Multiple of 38,803,464 with GCF Formula

Least Common Multiple of 38,803,464 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 38,803,464 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,803,464) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,803,464) x common factors =1 x 2 = 2

LCM(38,803,464) = ( 38 × 803 × 464 ) / 2

LCM(38,803,464) = 14158496 / 2

LCM(38,803,464) = 7079248


Lets's calculate GCF of 188,349,213

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7079248/1

Therefore the LCM of Fractions 38/188,803/349,464/213 is 7079248

Greatest Common Factor of 188,349,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,349,213 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 188,349,213 . The biggest common factor number is the GCF number.
So the greatest common factor 188,349,213 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 38/188, 803/349, 464/213

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 38/188, 803/349, 464/213?

Answer: LCM of Numerators as per given numbers 38/188, 803/349, 464/213 is

LCM of Numerators i.e. for 38,803,464 is 7079248

GCF of denominators i.e. for 188,349,213 is 1.

Thus, LCM of Fractions is 7079248.Finally, LCM of Fractions for 38/188, 803/349, 464/213 is 7079248.