Least Common Multiple of 85/729, 91/804, 733/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/729, 91/804, 733/814 quickly i.e. 5669755 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/729, 91/804, 733/814 is 5669755.

LCM(85/729, 91/804, 733/814) = 5669755

LCM of 85/729, 91/804, 733/814

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 85/729,91/804,733/814

Given numbers are 85/729,91/804,733/814

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 85,91,733

Least Common Multiple of Numerators i.e. LCM of 85,91,733 is 5669755.

GCF of Denominators means GCF of 729,804,814 as per the given fractions.

GCF of 729,804,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,91,733

LCM of Fractions 85/729,91/804,733/814 is 5669755

Given numbers has no common factors except 1. So, there LCM is their product i.e 5669755

Least Common Multiple of 85,91,733 with GCF Formula

Least Common Multiple of 85,91,733 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 85,91,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,91,733) = 1

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

GCF(85,91,733) x common factors =1 x 1 = 1

LCM(85,91,733) = ( 85 × 91 × 733 ) / 1

LCM(85,91,733) = 5669755 / 1

LCM(85,91,733) = 5669755


Lets's calculate GCF of 729,804,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5669755/1

Therefore the LCM of Fractions 85/729,91/804,733/814 is 5669755

Greatest Common Factor of 729,804,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,804,814 By Matching Biggest Common Factor Method

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 729,804,814 . The biggest common factor number is the GCF number.
So the greatest common factor 729,804,814 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 85/729, 91/804, 733/814

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 85/729, 91/804, 733/814?

Answer: LCM of Numerators as per given numbers 85/729, 91/804, 733/814 is

LCM of Numerators i.e. for 85,91,733 is 5669755

GCF of denominators i.e. for 729,804,814 is 1.

Thus, LCM of Fractions is 5669755.Finally, LCM of Fractions for 85/729, 91/804, 733/814 is 5669755.