Least Common Multiple of 83/448, 809/963, 672/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/448, 809/963, 672/589 quickly i.e. 45122784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/448, 809/963, 672/589 is 45122784.

LCM(83/448, 809/963, 672/589) = 45122784

LCM of 83/448, 809/963, 672/589

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 83/448,809/963,672/589

Given numbers are 83/448,809/963,672/589

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 83,809,672

Least Common Multiple of Numerators i.e. LCM of 83,809,672 is 45122784.

GCF of Denominators means GCF of 448,963,589 as per the given fractions.

GCF of 448,963,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,809,672

LCM of Fractions 83/448,809/963,672/589 is 45122784

Given numbers has no common factors except 1. So, there LCM is their product i.e 45122784

Least Common Multiple of 83,809,672 with GCF Formula

Least Common Multiple of 83,809,672 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 83,809,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,809,672) = 1

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

GCF(83,809,672) x common factors =1 x 1 = 1

LCM(83,809,672) = ( 83 × 809 × 672 ) / 1

LCM(83,809,672) = 45122784 / 1

LCM(83,809,672) = 45122784


Lets's calculate GCF of 448,963,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45122784/1

Therefore the LCM of Fractions 83/448,809/963,672/589 is 45122784

Greatest Common Factor of 448,963,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 448,963,589 By Matching Biggest Common Factor Method

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 963

List of positive integer factors of 963 that divides 963 without a remainder.

1,3,9,107,321,963

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 448,963,589 . The biggest common factor number is the GCF number.
So the greatest common factor 448,963,589 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 83/448, 809/963, 672/589

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 83/448, 809/963, 672/589?

Answer: LCM of Numerators as per given numbers 83/448, 809/963, 672/589 is

LCM of Numerators i.e. for 83,809,672 is 45122784

GCF of denominators i.e. for 448,963,589 is 1.

Thus, LCM of Fractions is 45122784.Finally, LCM of Fractions for 83/448, 809/963, 672/589 is 45122784.