Least Common Multiple of 38/987, 3566/4184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/987, 3566/4184 quickly i.e. 67754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/987, 3566/4184 is 67754.

LCM(38/987, 3566/4184) = 67754

LCM of 38/987, 3566/4184

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 38/987,3566/4184

Given numbers are 38/987,3566/4184

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 38,3566

Least Common Multiple of Numerators i.e. LCM of 38,3566 is 67754.

GCF of Denominators means GCF of 987,4184 as per the given fractions.

GCF of 987,4184 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,3566

LCM of Fractions 38/987,3566/4184 is 67754

2 38, 3566
19, 1783

∴ So the LCM of the given numbers is 2 x 19 x 1783 = 67754

Least Common Multiple of 38,3566 with GCF Formula

Least Common Multiple of 38,3566 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 38,3566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,3566) = 2

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

GCF(38,3566) x common factors =2 x 1 = 2

LCM(38,3566) = ( 38 × 3566 ) / 2

LCM(38,3566) = 135508 / 2

LCM(38,3566) = 67754


Lets's calculate GCF of 987,4184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67754/1

Therefore the LCM of Fractions 38/987,3566/4184 is 67754

Greatest Common Factor of 987,4184 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,4184 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 4184

List of positive integer factors of 4184 that divides 4184 without a remainder.

1,2,4,8,523,1046,2092,4184

Greatest Common Factor

We found the factors 987,4184 . The biggest common factor number is the GCF number.
So the greatest common factor 987,4184 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 38/987, 3566/4184

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 38/987, 3566/4184?

Answer: LCM of Numerators as per given numbers 38/987, 3566/4184 is

LCM of Numerators i.e. for 38,3566 is 67754

GCF of denominators i.e. for 987,4184 is 1.

Thus, LCM of Fractions is 67754.Finally, LCM of Fractions for 38/987, 3566/4184 is 67754.