Least Common Multiple of 864/90, 312/99, 607/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 864/90, 312/99, 607/394 quickly i.e. 6817824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 864/90, 312/99, 607/394 is 6817824.

LCM(864/90, 312/99, 607/394) = 6817824

LCM of 864/90, 312/99, 607/394

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 864/90,312/99,607/394

Given numbers are 864/90,312/99,607/394

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 864,312,607

Least Common Multiple of Numerators i.e. LCM of 864,312,607 is 6817824.

GCF of Denominators means GCF of 90,99,394 as per the given fractions.

GCF of 90,99,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 864,312,607

LCM of Fractions 864/90,312/99,607/394 is 6817824

2 864, 312, 607
2 432, 156, 607
2 216, 78, 607
3 108, 39, 607
36, 13, 607

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 36 x 13 x 607 = 6817824

Least Common Multiple of 864,312,607 with GCF Formula

Least Common Multiple of 864,312,607 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 864,312,607 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,312,607) = 1

common factors(in case of two or more numbers have common factors) = 24

GCF(864,312,607) x common factors =1 x 24 = 24

LCM(864,312,607) = ( 864 × 312 × 607 ) / 24

LCM(864,312,607) = 163627776 / 24

LCM(864,312,607) = 6817824


Lets's calculate GCF of 90,99,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6817824/1

Therefore the LCM of Fractions 864/90,312/99,607/394 is 6817824

Greatest Common Factor of 90,99,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,99,394 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 90,99,394 . The biggest common factor number is the GCF number.
So the greatest common factor 90,99,394 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 864/90, 312/99, 607/394

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 864/90, 312/99, 607/394?

Answer: LCM of Numerators as per given numbers 864/90, 312/99, 607/394 is

LCM of Numerators i.e. for 864,312,607 is 6817824

GCF of denominators i.e. for 90,99,394 is 1.

Thus, LCM of Fractions is 6817824.Finally, LCM of Fractions for 864/90, 312/99, 607/394 is 6817824.