Least Common Multiple of 389/81, 563/97, 974/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/81, 563/97, 974/962 quickly i.e. 213312818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/81, 563/97, 974/962 is 213312818.

LCM(389/81, 563/97, 974/962) = 213312818

LCM of 389/81, 563/97, 974/962

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 389/81,563/97,974/962

Given numbers are 389/81,563/97,974/962

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 389,563,974

Least Common Multiple of Numerators i.e. LCM of 389,563,974 is 213312818.

GCF of Denominators means GCF of 81,97,962 as per the given fractions.

GCF of 81,97,962 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,563,974

LCM of Fractions 389/81,563/97,974/962 is 213312818

Given numbers has no common factors except 1. So, there LCM is their product i.e 213312818

Least Common Multiple of 389,563,974 with GCF Formula

Least Common Multiple of 389,563,974 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 389,563,974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,563,974) = 1

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

GCF(389,563,974) x common factors =1 x 1 = 1

LCM(389,563,974) = ( 389 × 563 × 974 ) / 1

LCM(389,563,974) = 213312818 / 1

LCM(389,563,974) = 213312818


Lets's calculate GCF of 81,97,962

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 213312818/1

Therefore the LCM of Fractions 389/81,563/97,974/962 is 213312818

Greatest Common Factor of 81,97,962 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,97,962 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Greatest Common Factor

We found the factors 81,97,962 . The biggest common factor number is the GCF number.
So the greatest common factor 81,97,962 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 389/81, 563/97, 974/962

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 389/81, 563/97, 974/962?

Answer: LCM of Numerators as per given numbers 389/81, 563/97, 974/962 is

LCM of Numerators i.e. for 389,563,974 is 213312818

GCF of denominators i.e. for 81,97,962 is 1.

Thus, LCM of Fractions is 213312818.Finally, LCM of Fractions for 389/81, 563/97, 974/962 is 213312818.