Least Common Multiple of 812/854, 663/332, 451/864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 812/854, 663/332, 451/864 quickly i.e. 121399278 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 812/854, 663/332, 451/864 is 121399278.

LCM(812/854, 663/332, 451/864) = 121399278

LCM of 812/854, 663/332, 451/864

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 812/854,663/332,451/864

Given numbers are 812/854,663/332,451/864

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 812,663,451

Least Common Multiple of Numerators i.e. LCM of 812,663,451 is 242798556.

GCF of Denominators means GCF of 854,332,864 as per the given fractions.

GCF of 854,332,864 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 812,663,451

LCM of Fractions 812/854,663/332,451/864 is 121399278

Given numbers has no common factors except 1. So, there LCM is their product i.e 242798556

Least Common Multiple of 812,663,451 with GCF Formula

Least Common Multiple of 812,663,451 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 812,663,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(812,663,451) = 1

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

GCF(812,663,451) x common factors =1 x 1 = 1

LCM(812,663,451) = ( 812 × 663 × 451 ) / 1

LCM(812,663,451) = 242798556 / 1

LCM(812,663,451) = 242798556


Lets's calculate GCF of 854,332,864

2 854, 332, 864
427, 166, 432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 242798556/2

Therefore the LCM of Fractions 812/854,663/332,451/864 is 121399278

Greatest Common Factor of 854,332,864 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,332,864 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Greatest Common Factor

We found the factors 854,332,864 . The biggest common factor number is the GCF number.
So the greatest common factor 854,332,864 is 2.


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 812/854, 663/332, 451/864

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 812/854, 663/332, 451/864?

Answer: LCM of Numerators as per given numbers 812/854, 663/332, 451/864 is

LCM of Numerators i.e. for 812,663,451 is 242798556

GCF of denominators i.e. for 854,332,864 is 2.

Thus, LCM of Fractions is 121399278.Finally, LCM of Fractions for 812/854, 663/332, 451/864 is 121399278.