Least Common Multiple of 444/86, 484/4374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 444/86, 484/4374 quickly i.e. 26862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/86, 484/4374 is 26862.

LCM(444/86, 484/4374) = 26862

LCM of 444/86, 484/4374

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 444/86,484/4374

Given numbers are 444/86,484/4374

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 444,484

Least Common Multiple of Numerators i.e. LCM of 444,484 is 53724.

GCF of Denominators means GCF of 86,4374 as per the given fractions.

GCF of 86,4374 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,484

LCM of Fractions 444/86,484/4374 is 26862

2 444, 484
2 222, 242
111, 121

∴ So the LCM of the given numbers is 2 x 2 x 111 x 121 = 53724

Least Common Multiple of 444,484 with GCF Formula

Least Common Multiple of 444,484 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 444,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,484) = 4

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

GCF(444,484) x common factors =4 x 1 = 4

LCM(444,484) = ( 444 × 484 ) / 4

LCM(444,484) = 214896 / 4

LCM(444,484) = 53724


Lets's calculate GCF of 86,4374

2 86, 4374
43, 2187

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53724/2

Therefore the LCM of Fractions 444/86,484/4374 is 26862

Greatest Common Factor of 86,4374 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,4374 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 4374

List of positive integer factors of 4374 that divides 4374 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486,729,1458,2187,4374

Greatest Common Factor

We found the factors 86,4374 . The biggest common factor number is the GCF number.
So the greatest common factor 86,4374 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 444/86, 484/4374

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 444/86, 484/4374?

Answer: LCM of Numerators as per given numbers 444/86, 484/4374 is

LCM of Numerators i.e. for 444,484 is 53724

GCF of denominators i.e. for 86,4374 is 2.

Thus, LCM of Fractions is 26862.Finally, LCM of Fractions for 444/86, 484/4374 is 26862.