Least Common Multiple of 38/829, 551/512, 665/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/829, 551/512, 665/882 quickly i.e. 38570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/829, 551/512, 665/882 is 38570.

LCM(38/829, 551/512, 665/882) = 38570

LCM of 38/829, 551/512, 665/882

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 38/829,551/512,665/882

Given numbers are 38/829,551/512,665/882

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 38,551,665

Least Common Multiple of Numerators i.e. LCM of 38,551,665 is 38570.

GCF of Denominators means GCF of 829,512,882 as per the given fractions.

GCF of 829,512,882 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,551,665

LCM of Fractions 38/829,551/512,665/882 is 38570

19 38, 551, 665
2, 29, 35

∴ So the LCM of the given numbers is 19 x 2 x 29 x 35 = 38570

Least Common Multiple of 38,551,665 with GCF Formula

Least Common Multiple of 38,551,665 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 38,551,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,551,665) = 19

common factors(in case of two or more numbers have common factors) = 19

GCF(38,551,665) x common factors =19 x 19 = 361

LCM(38,551,665) = ( 38 × 551 × 665 ) / 361

LCM(38,551,665) = 13923770 / 361

LCM(38,551,665) = 38570


Lets's calculate GCF of 829,512,882

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38570/1

Therefore the LCM of Fractions 38/829,551/512,665/882 is 38570

Greatest Common Factor of 829,512,882 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,512,882 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 882

List of positive integer factors of 882 that divides 882 without a remainder.

1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882

Greatest Common Factor

We found the factors 829,512,882 . The biggest common factor number is the GCF number.
So the greatest common factor 829,512,882 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 38/829, 551/512, 665/882

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 38/829, 551/512, 665/882?

Answer: LCM of Numerators as per given numbers 38/829, 551/512, 665/882 is

LCM of Numerators i.e. for 38,551,665 is 38570

GCF of denominators i.e. for 829,512,882 is 1.

Thus, LCM of Fractions is 38570.Finally, LCM of Fractions for 38/829, 551/512, 665/882 is 38570.