Least Common Multiple of 73/443, 97/649, 969/583

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/443, 97/649, 969/583 quickly i.e. 6861489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/443, 97/649, 969/583 is 6861489.

LCM(73/443, 97/649, 969/583) = 6861489

LCM of 73/443, 97/649, 969/583

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 73/443,97/649,969/583

Given numbers are 73/443,97/649,969/583

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 73,97,969

Least Common Multiple of Numerators i.e. LCM of 73,97,969 is 6861489.

GCF of Denominators means GCF of 443,649,583 as per the given fractions.

GCF of 443,649,583 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,97,969

LCM of Fractions 73/443,97/649,969/583 is 6861489

Given numbers has no common factors except 1. So, there LCM is their product i.e 6861489

Least Common Multiple of 73,97,969 with GCF Formula

Least Common Multiple of 73,97,969 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 73,97,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,97,969) = 1

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

GCF(73,97,969) x common factors =1 x 1 = 1

LCM(73,97,969) = ( 73 × 97 × 969 ) / 1

LCM(73,97,969) = 6861489 / 1

LCM(73,97,969) = 6861489


Lets's calculate GCF of 443,649,583

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6861489/1

Therefore the LCM of Fractions 73/443,97/649,969/583 is 6861489

Greatest Common Factor of 443,649,583 By Matching Biggest Common Factor Method

Greatest Common Factor of 443,649,583 By Matching Biggest Common Factor Method

Factors of 443

List of positive integer factors of 443 that divides 443 without a remainder.

1,443

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1,11,53,583

Greatest Common Factor

We found the factors 443,649,583 . The biggest common factor number is the GCF number.
So the greatest common factor 443,649,583 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 73/443, 97/649, 969/583

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 73/443, 97/649, 969/583?

Answer: LCM of Numerators as per given numbers 73/443, 97/649, 969/583 is

LCM of Numerators i.e. for 73,97,969 is 6861489

GCF of denominators i.e. for 443,649,583 is 1.

Thus, LCM of Fractions is 6861489.Finally, LCM of Fractions for 73/443, 97/649, 969/583 is 6861489.