Least Common Multiple of 929/960, 8604/2214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 929/960, 8604/2214 quickly i.e. 1332186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 929/960, 8604/2214 is 1332186.

LCM(929/960, 8604/2214) = 1332186

LCM of 929/960, 8604/2214

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 929/960,8604/2214

Given numbers are 929/960,8604/2214

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 929,8604

Least Common Multiple of Numerators i.e. LCM of 929,8604 is 7993116.

GCF of Denominators means GCF of 960,2214 as per the given fractions.

GCF of 960,2214 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 929,8604

LCM of Fractions 929/960,8604/2214 is 1332186

Given numbers has no common factors except 1. So, there LCM is their product i.e 7993116

Least Common Multiple of 929,8604 with GCF Formula

Least Common Multiple of 929,8604 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 929,8604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(929,8604) = 1

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

GCF(929,8604) x common factors =1 x 1 = 1

LCM(929,8604) = ( 929 × 8604 ) / 1

LCM(929,8604) = 7993116 / 1

LCM(929,8604) = 7993116


Lets's calculate GCF of 960,2214

2 960, 2214
3 480, 1107
160, 369

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7993116/6

Therefore the LCM of Fractions 929/960,8604/2214 is 1332186

Greatest Common Factor of 960,2214 By Matching Biggest Common Factor Method

Greatest Common Factor of 960,2214 By Matching Biggest Common Factor Method

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

Factors of 2214

List of positive integer factors of 2214 that divides 2214 without a remainder.

1,2,3,6,9,18,27,41,54,82,123,246,369,738,1107,2214

Greatest Common Factor

We found the factors 960,2214 . The biggest common factor number is the GCF number.
So the greatest common factor 960,2214 is 6.


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 929/960, 8604/2214

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 929/960, 8604/2214?

Answer: LCM of Numerators as per given numbers 929/960, 8604/2214 is

LCM of Numerators i.e. for 929,8604 is 7993116

GCF of denominators i.e. for 960,2214 is 6.

Thus, LCM of Fractions is 1332186.Finally, LCM of Fractions for 929/960, 8604/2214 is 1332186.