Least Common Multiple of 863/96, 7702/512

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 863/96, 7702/512 quickly i.e. 6646826/32 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 863/96, 7702/512 is 6646826/32.

LCM(863/96, 7702/512) = 6646826/32

LCM of 863/96, 7702/512

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 863/96,7702/512

Given numbers are 863/96,7702/512

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 863,7702

Least Common Multiple of Numerators i.e. LCM of 863,7702 is 6646826.

GCF of Denominators means GCF of 96,512 as per the given fractions.

GCF of 96,512 is 32 as it is the largest common factor for these numbers.

Lets's calculate LCM of 863,7702

LCM of Fractions 863/96,7702/512 is 6646826/32

Given numbers has no common factors except 1. So, there LCM is their product i.e 6646826

Least Common Multiple of 863,7702 with GCF Formula

Least Common Multiple of 863,7702 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 863,7702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(863,7702) = 1

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

GCF(863,7702) x common factors =1 x 1 = 1

LCM(863,7702) = ( 863 × 7702 ) / 1

LCM(863,7702) = 6646826 / 1

LCM(863,7702) = 6646826


Lets's calculate GCF of 96,512

2 96, 512
2 48, 256
2 24, 128
2 12, 64
2 6, 32
3, 16

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6646826/32

Therefore the LCM of Fractions 863/96,7702/512 is 6646826/32

Greatest Common Factor of 96,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,512 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 96,512 . The biggest common factor number is the GCF number.
So the greatest common factor 96,512 is 32.


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 863/96, 7702/512

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 863/96, 7702/512?

Answer: LCM of Numerators as per given numbers 863/96, 7702/512 is

LCM of Numerators i.e. for 863,7702 is 6646826

GCF of denominators i.e. for 96,512 is 32.

Thus, LCM of Fractions is 6646826/32.Finally, LCM of Fractions for 863/96, 7702/512 is 6646826/32.