Least Common Multiple of 3936/388, 4562/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3936/388, 4562/417 quickly i.e. 8978016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3936/388, 4562/417 is 8978016.

LCM(3936/388, 4562/417) = 8978016

LCM of 3936/388, 4562/417

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 3936/388,4562/417

Given numbers are 3936/388,4562/417

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 3936,4562

Least Common Multiple of Numerators i.e. LCM of 3936,4562 is 8978016.

GCF of Denominators means GCF of 388,417 as per the given fractions.

GCF of 388,417 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3936,4562

LCM of Fractions 3936/388,4562/417 is 8978016

2 3936, 4562
1968, 2281

∴ So the LCM of the given numbers is 2 x 1968 x 2281 = 8978016

Least Common Multiple of 3936,4562 with GCF Formula

Least Common Multiple of 3936,4562 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 3936,4562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3936,4562) = 2

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

GCF(3936,4562) x common factors =2 x 1 = 2

LCM(3936,4562) = ( 3936 × 4562 ) / 2

LCM(3936,4562) = 17956032 / 2

LCM(3936,4562) = 8978016


Lets's calculate GCF of 388,417

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8978016/1

Therefore the LCM of Fractions 3936/388,4562/417 is 8978016

Greatest Common Factor of 388,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 388,417 By Matching Biggest Common Factor Method

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 388,417 . The biggest common factor number is the GCF number.
So the greatest common factor 388,417 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 3936/388, 4562/417

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 3936/388, 4562/417?

Answer: LCM of Numerators as per given numbers 3936/388, 4562/417 is

LCM of Numerators i.e. for 3936,4562 is 8978016

GCF of denominators i.e. for 388,417 is 1.

Thus, LCM of Fractions is 8978016.Finally, LCM of Fractions for 3936/388, 4562/417 is 8978016.