Least Common Multiple of 512/96, 455/58, 847/709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/96, 455/58, 847/709 quickly i.e. 28188160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/96, 455/58, 847/709 is 28188160.

LCM(512/96, 455/58, 847/709) = 28188160

LCM of 512/96, 455/58, 847/709

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 512/96,455/58,847/709

Given numbers are 512/96,455/58,847/709

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 512,455,847

Least Common Multiple of Numerators i.e. LCM of 512,455,847 is 28188160.

GCF of Denominators means GCF of 96,58,709 as per the given fractions.

GCF of 96,58,709 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,455,847

LCM of Fractions 512/96,455/58,847/709 is 28188160

7 512, 455, 847
512, 65, 121

∴ So the LCM of the given numbers is 7 x 512 x 65 x 121 = 28188160

Least Common Multiple of 512,455,847 with GCF Formula

Least Common Multiple of 512,455,847 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 512,455,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,455,847) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(512,455,847) x common factors =1 x 7 = 7

LCM(512,455,847) = ( 512 × 455 × 847 ) / 7

LCM(512,455,847) = 197317120 / 7

LCM(512,455,847) = 28188160


Lets's calculate GCF of 96,58,709

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28188160/1

Therefore the LCM of Fractions 512/96,455/58,847/709 is 28188160

Greatest Common Factor of 96,58,709 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,58,709 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 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Greatest Common Factor

We found the factors 96,58,709 . The biggest common factor number is the GCF number.
So the greatest common factor 96,58,709 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 512/96, 455/58, 847/709

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 512/96, 455/58, 847/709?

Answer: LCM of Numerators as per given numbers 512/96, 455/58, 847/709 is

LCM of Numerators i.e. for 512,455,847 is 28188160

GCF of denominators i.e. for 96,58,709 is 1.

Thus, LCM of Fractions is 28188160.Finally, LCM of Fractions for 512/96, 455/58, 847/709 is 28188160.