Least Common Multiple of 38/402, 896/883, 717/867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/402, 896/883, 717/867 quickly i.e. 12206208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/402, 896/883, 717/867 is 12206208.

LCM(38/402, 896/883, 717/867) = 12206208

LCM of 38/402, 896/883, 717/867

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 38/402,896/883,717/867

Given numbers are 38/402,896/883,717/867

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 38,896,717

Least Common Multiple of Numerators i.e. LCM of 38,896,717 is 12206208.

GCF of Denominators means GCF of 402,883,867 as per the given fractions.

GCF of 402,883,867 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,896,717

LCM of Fractions 38/402,896/883,717/867 is 12206208

2 38, 896, 717
19, 448, 717

∴ So the LCM of the given numbers is 2 x 19 x 448 x 717 = 12206208

Least Common Multiple of 38,896,717 with GCF Formula

Least Common Multiple of 38,896,717 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 38,896,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,896,717) = 1

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

GCF(38,896,717) x common factors =1 x 2 = 2

LCM(38,896,717) = ( 38 × 896 × 717 ) / 2

LCM(38,896,717) = 24412416 / 2

LCM(38,896,717) = 12206208


Lets's calculate GCF of 402,883,867

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12206208/1

Therefore the LCM of Fractions 38/402,896/883,717/867 is 12206208

Greatest Common Factor of 402,883,867 By Matching Biggest Common Factor Method

Greatest Common Factor of 402,883,867 By Matching Biggest Common Factor Method

Factors of 402

List of positive integer factors of 402 that divides 402 without a remainder.

1,2,3,6,67,134,201,402

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Greatest Common Factor

We found the factors 402,883,867 . The biggest common factor number is the GCF number.
So the greatest common factor 402,883,867 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 38/402, 896/883, 717/867

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 38/402, 896/883, 717/867?

Answer: LCM of Numerators as per given numbers 38/402, 896/883, 717/867 is

LCM of Numerators i.e. for 38,896,717 is 12206208

GCF of denominators i.e. for 402,883,867 is 1.

Thus, LCM of Fractions is 12206208.Finally, LCM of Fractions for 38/402, 896/883, 717/867 is 12206208.