Least Common Multiple of 3982/302, 8848/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3982/302, 8848/496 quickly i.e. 8808184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3982/302, 8848/496 is 8808184.

LCM(3982/302, 8848/496) = 8808184

LCM of 3982/302, 8848/496

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 3982/302,8848/496

Given numbers are 3982/302,8848/496

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 3982,8848

Least Common Multiple of Numerators i.e. LCM of 3982,8848 is 17616368.

GCF of Denominators means GCF of 302,496 as per the given fractions.

GCF of 302,496 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3982,8848

LCM of Fractions 3982/302,8848/496 is 8808184

2 3982, 8848
1991, 4424

∴ So the LCM of the given numbers is 2 x 1991 x 4424 = 17616368

Least Common Multiple of 3982,8848 with GCF Formula

Least Common Multiple of 3982,8848 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 3982,8848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3982,8848) = 2

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

GCF(3982,8848) x common factors =2 x 1 = 2

LCM(3982,8848) = ( 3982 × 8848 ) / 2

LCM(3982,8848) = 35232736 / 2

LCM(3982,8848) = 17616368


Lets's calculate GCF of 302,496

2 302, 496
151, 248

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17616368/2

Therefore the LCM of Fractions 3982/302,8848/496 is 8808184

Greatest Common Factor of 302,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 302,496 By Matching Biggest Common Factor Method

Factors of 302

List of positive integer factors of 302 that divides 302 without a remainder.

1,2,151,302

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 302,496 . The biggest common factor number is the GCF number.
So the greatest common factor 302,496 is 2.


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 3982/302, 8848/496

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 3982/302, 8848/496?

Answer: LCM of Numerators as per given numbers 3982/302, 8848/496 is

LCM of Numerators i.e. for 3982,8848 is 17616368

GCF of denominators i.e. for 302,496 is 2.

Thus, LCM of Fractions is 8808184.Finally, LCM of Fractions for 3982/302, 8848/496 is 8808184.