Least Common Multiple of 809/933, 633/132, 681/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 809/933, 633/132, 681/578 quickly i.e. 116246019 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 809/933, 633/132, 681/578 is 116246019.

LCM(809/933, 633/132, 681/578) = 116246019

LCM of 809/933, 633/132, 681/578

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 809/933,633/132,681/578

Given numbers are 809/933,633/132,681/578

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 809,633,681

Least Common Multiple of Numerators i.e. LCM of 809,633,681 is 116246019.

GCF of Denominators means GCF of 933,132,578 as per the given fractions.

GCF of 933,132,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 809,633,681

LCM of Fractions 809/933,633/132,681/578 is 116246019

3 809, 633, 681
809, 211, 227

∴ So the LCM of the given numbers is 3 x 809 x 211 x 227 = 116246019

Least Common Multiple of 809,633,681 with GCF Formula

Least Common Multiple of 809,633,681 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 809,633,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(809,633,681) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(809,633,681) x common factors =1 x 3 = 3

LCM(809,633,681) = ( 809 × 633 × 681 ) / 3

LCM(809,633,681) = 348738057 / 3

LCM(809,633,681) = 116246019


Lets's calculate GCF of 933,132,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116246019/1

Therefore the LCM of Fractions 809/933,633/132,681/578 is 116246019

Greatest Common Factor of 933,132,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,132,578 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 933,132,578 . The biggest common factor number is the GCF number.
So the greatest common factor 933,132,578 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 809/933, 633/132, 681/578

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 809/933, 633/132, 681/578?

Answer: LCM of Numerators as per given numbers 809/933, 633/132, 681/578 is

LCM of Numerators i.e. for 809,633,681 is 116246019

GCF of denominators i.e. for 933,132,578 is 1.

Thus, LCM of Fractions is 116246019.Finally, LCM of Fractions for 809/933, 633/132, 681/578 is 116246019.