Least Common Multiple of 51/118, 4224/3984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/118, 4224/3984 quickly i.e. 35904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/118, 4224/3984 is 35904.

LCM(51/118, 4224/3984) = 35904

LCM of 51/118, 4224/3984

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 51/118,4224/3984

Given numbers are 51/118,4224/3984

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 51,4224

Least Common Multiple of Numerators i.e. LCM of 51,4224 is 71808.

GCF of Denominators means GCF of 118,3984 as per the given fractions.

GCF of 118,3984 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,4224

LCM of Fractions 51/118,4224/3984 is 35904

3 51, 4224
17, 1408

∴ So the LCM of the given numbers is 3 x 17 x 1408 = 71808

Least Common Multiple of 51,4224 with GCF Formula

Least Common Multiple of 51,4224 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 51,4224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,4224) = 3

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

GCF(51,4224) x common factors =3 x 1 = 3

LCM(51,4224) = ( 51 × 4224 ) / 3

LCM(51,4224) = 215424 / 3

LCM(51,4224) = 71808


Lets's calculate GCF of 118,3984

2 118, 3984
59, 1992

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71808/2

Therefore the LCM of Fractions 51/118,4224/3984 is 35904

Greatest Common Factor of 118,3984 By Matching Biggest Common Factor Method

Greatest Common Factor of 118,3984 By Matching Biggest Common Factor Method

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Factors of 3984

List of positive integer factors of 3984 that divides 3984 without a remainder.

1,2,3,4,6,8,12,16,24,48,83,166,249,332,498,664,996,1328,1992,3984

Greatest Common Factor

We found the factors 118,3984 . The biggest common factor number is the GCF number.
So the greatest common factor 118,3984 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 51/118, 4224/3984

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 51/118, 4224/3984?

Answer: LCM of Numerators as per given numbers 51/118, 4224/3984 is

LCM of Numerators i.e. for 51,4224 is 71808

GCF of denominators i.e. for 118,3984 is 2.

Thus, LCM of Fractions is 35904.Finally, LCM of Fractions for 51/118, 4224/3984 is 35904.