Least Common Multiple of 85/319, 693/804, 765/447

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/319, 693/804, 765/447 quickly i.e. 58905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/319, 693/804, 765/447 is 58905.

LCM(85/319, 693/804, 765/447) = 58905

LCM of 85/319, 693/804, 765/447

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 85/319,693/804,765/447

Given numbers are 85/319,693/804,765/447

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 85,693,765

Least Common Multiple of Numerators i.e. LCM of 85,693,765 is 58905.

GCF of Denominators means GCF of 319,804,447 as per the given fractions.

GCF of 319,804,447 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,693,765

LCM of Fractions 85/319,693/804,765/447 is 58905

3 85, 693, 765
3 85, 231, 255
5 85, 77, 85
17 17, 77, 17
1, 77, 1

∴ So the LCM of the given numbers is 3 x 3 x 5 x 17 x 1 x 77 x 1 = 58905

Least Common Multiple of 85,693,765 with GCF Formula

Least Common Multiple of 85,693,765 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 85,693,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,693,765) = 1

common factors(in case of two or more numbers have common factors) = 765

GCF(85,693,765) x common factors =1 x 765 = 765

LCM(85,693,765) = ( 85 × 693 × 765 ) / 765

LCM(85,693,765) = 45062325 / 765

LCM(85,693,765) = 58905


Lets's calculate GCF of 319,804,447

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58905/1

Therefore the LCM of Fractions 85/319,693/804,765/447 is 58905

Greatest Common Factor of 319,804,447 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,804,447 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

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 447

List of positive integer factors of 447 that divides 447 without a remainder.

1,3,149,447

Greatest Common Factor

We found the factors 319,804,447 . The biggest common factor number is the GCF number.
So the greatest common factor 319,804,447 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 85/319, 693/804, 765/447

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 85/319, 693/804, 765/447?

Answer: LCM of Numerators as per given numbers 85/319, 693/804, 765/447 is

LCM of Numerators i.e. for 85,693,765 is 58905

GCF of denominators i.e. for 319,804,447 is 1.

Thus, LCM of Fractions is 58905.Finally, LCM of Fractions for 85/319, 693/804, 765/447 is 58905.