Least Common Multiple of 229/344, 879/775, 639/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 229/344, 879/775, 639/638 quickly i.e. 42874983 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 229/344, 879/775, 639/638 is 42874983.

LCM(229/344, 879/775, 639/638) = 42874983

LCM of 229/344, 879/775, 639/638

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 229/344,879/775,639/638

Given numbers are 229/344,879/775,639/638

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 229,879,639

Least Common Multiple of Numerators i.e. LCM of 229,879,639 is 42874983.

GCF of Denominators means GCF of 344,775,638 as per the given fractions.

GCF of 344,775,638 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 229,879,639

LCM of Fractions 229/344,879/775,639/638 is 42874983

3 229, 879, 639
229, 293, 213

∴ So the LCM of the given numbers is 3 x 229 x 293 x 213 = 42874983

Least Common Multiple of 229,879,639 with GCF Formula

Least Common Multiple of 229,879,639 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 229,879,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(229,879,639) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(229,879,639) x common factors =1 x 3 = 3

LCM(229,879,639) = ( 229 × 879 × 639 ) / 3

LCM(229,879,639) = 128624949 / 3

LCM(229,879,639) = 42874983


Lets's calculate GCF of 344,775,638

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42874983/1

Therefore the LCM of Fractions 229/344,879/775,639/638 is 42874983

Greatest Common Factor of 344,775,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,775,638 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 775

List of positive integer factors of 775 that divides 775 without a remainder.

1,5,25,31,155,775

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 344,775,638 . The biggest common factor number is the GCF number.
So the greatest common factor 344,775,638 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 229/344, 879/775, 639/638

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 229/344, 879/775, 639/638?

Answer: LCM of Numerators as per given numbers 229/344, 879/775, 639/638 is

LCM of Numerators i.e. for 229,879,639 is 42874983

GCF of denominators i.e. for 344,775,638 is 1.

Thus, LCM of Fractions is 42874983.Finally, LCM of Fractions for 229/344, 879/775, 639/638 is 42874983.