Least Common Multiple of 6416/600, 2491/9792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6416/600, 2491/9792 quickly i.e. 15982256/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6416/600, 2491/9792 is 15982256/24.

LCM(6416/600, 2491/9792) = 15982256/24

LCM of 6416/600, 2491/9792

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 6416/600,2491/9792

Given numbers are 6416/600,2491/9792

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 6416,2491

Least Common Multiple of Numerators i.e. LCM of 6416,2491 is 15982256.

GCF of Denominators means GCF of 600,9792 as per the given fractions.

GCF of 600,9792 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6416,2491

LCM of Fractions 6416/600,2491/9792 is 15982256/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 15982256

Least Common Multiple of 6416,2491 with GCF Formula

Least Common Multiple of 6416,2491 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 6416,2491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6416,2491) = 1

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

GCF(6416,2491) x common factors =1 x 1 = 1

LCM(6416,2491) = ( 6416 × 2491 ) / 1

LCM(6416,2491) = 15982256 / 1

LCM(6416,2491) = 15982256


Lets's calculate GCF of 600,9792

2 600, 9792
2 300, 4896
2 150, 2448
3 75, 1224
25, 408

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15982256/24

Therefore the LCM of Fractions 6416/600,2491/9792 is 15982256/24

Greatest Common Factor of 600,9792 By Matching Biggest Common Factor Method

Greatest Common Factor of 600,9792 By Matching Biggest Common Factor Method

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Greatest Common Factor

We found the factors 600,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 600,9792 is 24.


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 6416/600, 2491/9792

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 6416/600, 2491/9792?

Answer: LCM of Numerators as per given numbers 6416/600, 2491/9792 is

LCM of Numerators i.e. for 6416,2491 is 15982256

GCF of denominators i.e. for 600,9792 is 24.

Thus, LCM of Fractions is 15982256/24.Finally, LCM of Fractions for 6416/600, 2491/9792 is 15982256/24.