Least Common Multiple of 89/384, 15/734, 397/877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/384, 15/734, 397/877 quickly i.e. 529995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/384, 15/734, 397/877 is 529995.

LCM(89/384, 15/734, 397/877) = 529995

LCM of 89/384, 15/734, 397/877

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 89/384,15/734,397/877

Given numbers are 89/384,15/734,397/877

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 89,15,397

Least Common Multiple of Numerators i.e. LCM of 89,15,397 is 529995.

GCF of Denominators means GCF of 384,734,877 as per the given fractions.

GCF of 384,734,877 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,15,397

LCM of Fractions 89/384,15/734,397/877 is 529995

Given numbers has no common factors except 1. So, there LCM is their product i.e 529995

Least Common Multiple of 89,15,397 with GCF Formula

Least Common Multiple of 89,15,397 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 89,15,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,15,397) = 1

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

GCF(89,15,397) x common factors =1 x 1 = 1

LCM(89,15,397) = ( 89 × 15 × 397 ) / 1

LCM(89,15,397) = 529995 / 1

LCM(89,15,397) = 529995


Lets's calculate GCF of 384,734,877

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 529995/1

Therefore the LCM of Fractions 89/384,15/734,397/877 is 529995

Greatest Common Factor of 384,734,877 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,734,877 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 877

List of positive integer factors of 877 that divides 877 without a remainder.

1,877

Greatest Common Factor

We found the factors 384,734,877 . The biggest common factor number is the GCF number.
So the greatest common factor 384,734,877 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 89/384, 15/734, 397/877

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 89/384, 15/734, 397/877?

Answer: LCM of Numerators as per given numbers 89/384, 15/734, 397/877 is

LCM of Numerators i.e. for 89,15,397 is 529995

GCF of denominators i.e. for 384,734,877 is 1.

Thus, LCM of Fractions is 529995.Finally, LCM of Fractions for 89/384, 15/734, 397/877 is 529995.