Least Common Multiple of 642/64, 444/8446

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/64, 444/8446 quickly i.e. 23754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/64, 444/8446 is 23754.

LCM(642/64, 444/8446) = 23754

LCM of 642/64, 444/8446

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 642/64,444/8446

Given numbers are 642/64,444/8446

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 642,444

Least Common Multiple of Numerators i.e. LCM of 642,444 is 47508.

GCF of Denominators means GCF of 64,8446 as per the given fractions.

GCF of 64,8446 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,444

LCM of Fractions 642/64,444/8446 is 23754

2 642, 444
3 321, 222
107, 74

∴ So the LCM of the given numbers is 2 x 3 x 107 x 74 = 47508

Least Common Multiple of 642,444 with GCF Formula

Least Common Multiple of 642,444 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 642,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,444) = 6

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

GCF(642,444) x common factors =6 x 1 = 6

LCM(642,444) = ( 642 × 444 ) / 6

LCM(642,444) = 285048 / 6

LCM(642,444) = 47508


Lets's calculate GCF of 64,8446

2 64, 8446
32, 4223

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47508/2

Therefore the LCM of Fractions 642/64,444/8446 is 23754

Greatest Common Factor of 64,8446 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,8446 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 8446

List of positive integer factors of 8446 that divides 8446 without a remainder.

1,2,41,82,103,206,4223,8446

Greatest Common Factor

We found the factors 64,8446 . The biggest common factor number is the GCF number.
So the greatest common factor 64,8446 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 642/64, 444/8446

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 642/64, 444/8446?

Answer: LCM of Numerators as per given numbers 642/64, 444/8446 is

LCM of Numerators i.e. for 642,444 is 47508

GCF of denominators i.e. for 64,8446 is 2.

Thus, LCM of Fractions is 23754.Finally, LCM of Fractions for 642/64, 444/8446 is 23754.