Least Common Multiple of 97/589, 737/622, 966/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/589, 737/622, 966/164 quickly i.e. 69058374 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/589, 737/622, 966/164 is 69058374.

LCM(97/589, 737/622, 966/164) = 69058374

LCM of 97/589, 737/622, 966/164

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 97/589,737/622,966/164

Given numbers are 97/589,737/622,966/164

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 97,737,966

Least Common Multiple of Numerators i.e. LCM of 97,737,966 is 69058374.

GCF of Denominators means GCF of 589,622,164 as per the given fractions.

GCF of 589,622,164 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,737,966

LCM of Fractions 97/589,737/622,966/164 is 69058374

Given numbers has no common factors except 1. So, there LCM is their product i.e 69058374

Least Common Multiple of 97,737,966 with GCF Formula

Least Common Multiple of 97,737,966 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 97,737,966 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,737,966) = 1

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

GCF(97,737,966) x common factors =1 x 1 = 1

LCM(97,737,966) = ( 97 × 737 × 966 ) / 1

LCM(97,737,966) = 69058374 / 1

LCM(97,737,966) = 69058374


Lets's calculate GCF of 589,622,164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69058374/1

Therefore the LCM of Fractions 97/589,737/622,966/164 is 69058374

Greatest Common Factor of 589,622,164 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,622,164 By Matching Biggest Common Factor Method

Factors of 589

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

1,19,31,589

Factors of 622

List of positive integer factors of 622 that divides 622 without a remainder.

1,2,311,622

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Greatest Common Factor

We found the factors 589,622,164 . The biggest common factor number is the GCF number.
So the greatest common factor 589,622,164 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 97/589, 737/622, 966/164

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 97/589, 737/622, 966/164?

Answer: LCM of Numerators as per given numbers 97/589, 737/622, 966/164 is

LCM of Numerators i.e. for 97,737,966 is 69058374

GCF of denominators i.e. for 589,622,164 is 1.

Thus, LCM of Fractions is 69058374.Finally, LCM of Fractions for 97/589, 737/622, 966/164 is 69058374.