Least Common Multiple of 396/23, 115/98, 847/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 396/23, 115/98, 847/960 quickly i.e. 3506580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 396/23, 115/98, 847/960 is 3506580.

LCM(396/23, 115/98, 847/960) = 3506580

LCM of 396/23, 115/98, 847/960

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 396/23,115/98,847/960

Given numbers are 396/23,115/98,847/960

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 396,115,847

Least Common Multiple of Numerators i.e. LCM of 396,115,847 is 3506580.

GCF of Denominators means GCF of 23,98,960 as per the given fractions.

GCF of 23,98,960 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 396,115,847

LCM of Fractions 396/23,115/98,847/960 is 3506580

11 396, 115, 847
36, 115, 77

∴ So the LCM of the given numbers is 11 x 36 x 115 x 77 = 3506580

Least Common Multiple of 396,115,847 with GCF Formula

Least Common Multiple of 396,115,847 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 396,115,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(396,115,847) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(396,115,847) x common factors =1 x 11 = 11

LCM(396,115,847) = ( 396 × 115 × 847 ) / 11

LCM(396,115,847) = 38572380 / 11

LCM(396,115,847) = 3506580


Lets's calculate GCF of 23,98,960

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3506580/1

Therefore the LCM of Fractions 396/23,115/98,847/960 is 3506580

Greatest Common Factor of 23,98,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,98,960 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 23,98,960 . The biggest common factor number is the GCF number.
So the greatest common factor 23,98,960 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 396/23, 115/98, 847/960

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 396/23, 115/98, 847/960?

Answer: LCM of Numerators as per given numbers 396/23, 115/98, 847/960 is

LCM of Numerators i.e. for 396,115,847 is 3506580

GCF of denominators i.e. for 23,98,960 is 1.

Thus, LCM of Fractions is 3506580.Finally, LCM of Fractions for 396/23, 115/98, 847/960 is 3506580.