Least Common Multiple of 444/864, 4814/716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 444/864, 4814/716 quickly i.e. 267177 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/864, 4814/716 is 267177.

LCM(444/864, 4814/716) = 267177

LCM of 444/864, 4814/716

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 444/864,4814/716

Given numbers are 444/864,4814/716

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 444,4814

Least Common Multiple of Numerators i.e. LCM of 444,4814 is 1068708.

GCF of Denominators means GCF of 864,716 as per the given fractions.

GCF of 864,716 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,4814

LCM of Fractions 444/864,4814/716 is 267177

2 444, 4814
222, 2407

∴ So the LCM of the given numbers is 2 x 222 x 2407 = 1068708

Least Common Multiple of 444,4814 with GCF Formula

Least Common Multiple of 444,4814 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 444,4814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,4814) = 2

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

GCF(444,4814) x common factors =2 x 1 = 2

LCM(444,4814) = ( 444 × 4814 ) / 2

LCM(444,4814) = 2137416 / 2

LCM(444,4814) = 1068708


Lets's calculate GCF of 864,716

2 864, 716
2 432, 358
216, 179

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1068708/4

Therefore the LCM of Fractions 444/864,4814/716 is 267177

Greatest Common Factor of 864,716 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,716 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Greatest Common Factor

We found the factors 864,716 . The biggest common factor number is the GCF number.
So the greatest common factor 864,716 is 4.


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 444/864, 4814/716

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 444/864, 4814/716?

Answer: LCM of Numerators as per given numbers 444/864, 4814/716 is

LCM of Numerators i.e. for 444,4814 is 1068708

GCF of denominators i.e. for 864,716 is 4.

Thus, LCM of Fractions is 267177.Finally, LCM of Fractions for 444/864, 4814/716 is 267177.