Least Common Multiple of 76/224, 518/443, 234/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/224, 518/443, 234/589 quickly i.e. 2303028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/224, 518/443, 234/589 is 2303028.

LCM(76/224, 518/443, 234/589) = 2303028

LCM of 76/224, 518/443, 234/589

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 76/224,518/443,234/589

Given numbers are 76/224,518/443,234/589

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 76,518,234

Least Common Multiple of Numerators i.e. LCM of 76,518,234 is 2303028.

GCF of Denominators means GCF of 224,443,589 as per the given fractions.

GCF of 224,443,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,518,234

LCM of Fractions 76/224,518/443,234/589 is 2303028

2 76, 518, 234
38, 259, 117

∴ So the LCM of the given numbers is 2 x 38 x 259 x 117 = 2303028

Least Common Multiple of 76,518,234 with GCF Formula

Least Common Multiple of 76,518,234 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 76,518,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,518,234) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(76,518,234) x common factors =2 x 2 = 4

LCM(76,518,234) = ( 76 × 518 × 234 ) / 4

LCM(76,518,234) = 9212112 / 4

LCM(76,518,234) = 2303028


Lets's calculate GCF of 224,443,589

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2303028/1

Therefore the LCM of Fractions 76/224,518/443,234/589 is 2303028

Greatest Common Factor of 224,443,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 224,443,589 By Matching Biggest Common Factor Method

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 224,443,589 . The biggest common factor number is the GCF number.
So the greatest common factor 224,443,589 is 1.


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 76/224, 518/443, 234/589

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 76/224, 518/443, 234/589?

Answer: LCM of Numerators as per given numbers 76/224, 518/443, 234/589 is

LCM of Numerators i.e. for 76,518,234 is 2303028

GCF of denominators i.e. for 224,443,589 is 1.

Thus, LCM of Fractions is 2303028.Finally, LCM of Fractions for 76/224, 518/443, 234/589 is 2303028.