Least Common Multiple of 38/214, 6714/6065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/214, 6714/6065 quickly i.e. 127566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/214, 6714/6065 is 127566.

LCM(38/214, 6714/6065) = 127566

LCM of 38/214, 6714/6065

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 38/214,6714/6065

Given numbers are 38/214,6714/6065

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 38,6714

Least Common Multiple of Numerators i.e. LCM of 38,6714 is 127566.

GCF of Denominators means GCF of 214,6065 as per the given fractions.

GCF of 214,6065 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,6714

LCM of Fractions 38/214,6714/6065 is 127566

2 38, 6714
19, 3357

∴ So the LCM of the given numbers is 2 x 19 x 3357 = 127566

Least Common Multiple of 38,6714 with GCF Formula

Least Common Multiple of 38,6714 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 38,6714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,6714) = 2

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

GCF(38,6714) x common factors =2 x 1 = 2

LCM(38,6714) = ( 38 × 6714 ) / 2

LCM(38,6714) = 255132 / 2

LCM(38,6714) = 127566


Lets's calculate GCF of 214,6065

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127566/1

Therefore the LCM of Fractions 38/214,6714/6065 is 127566

Greatest Common Factor of 214,6065 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,6065 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 6065

List of positive integer factors of 6065 that divides 6065 without a remainder.

1,5,1213,6065

Greatest Common Factor

We found the factors 214,6065 . The biggest common factor number is the GCF number.
So the greatest common factor 214,6065 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 38/214, 6714/6065

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 38/214, 6714/6065?

Answer: LCM of Numerators as per given numbers 38/214, 6714/6065 is

LCM of Numerators i.e. for 38,6714 is 127566

GCF of denominators i.e. for 214,6065 is 1.

Thus, LCM of Fractions is 127566.Finally, LCM of Fractions for 38/214, 6714/6065 is 127566.