Least Common Multiple of 821/64, 737/66, 193/397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/64, 737/66, 193/397 quickly i.e. 116779861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/64, 737/66, 193/397 is 116779861.

LCM(821/64, 737/66, 193/397) = 116779861

LCM of 821/64, 737/66, 193/397

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 821/64,737/66,193/397

Given numbers are 821/64,737/66,193/397

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 821,737,193

Least Common Multiple of Numerators i.e. LCM of 821,737,193 is 116779861.

GCF of Denominators means GCF of 64,66,397 as per the given fractions.

GCF of 64,66,397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,737,193

LCM of Fractions 821/64,737/66,193/397 is 116779861

Given numbers has no common factors except 1. So, there LCM is their product i.e 116779861

Least Common Multiple of 821,737,193 with GCF Formula

Least Common Multiple of 821,737,193 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 821,737,193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,737,193) = 1

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

GCF(821,737,193) x common factors =1 x 1 = 1

LCM(821,737,193) = ( 821 × 737 × 193 ) / 1

LCM(821,737,193) = 116779861 / 1

LCM(821,737,193) = 116779861


Lets's calculate GCF of 64,66,397

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 116779861/1

Therefore the LCM of Fractions 821/64,737/66,193/397 is 116779861

Greatest Common Factor of 64,66,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,66,397 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 397

List of positive integer factors of 397 that divides 397 without a remainder.

1,397

Greatest Common Factor

We found the factors 64,66,397 . The biggest common factor number is the GCF number.
So the greatest common factor 64,66,397 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 821/64, 737/66, 193/397

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 821/64, 737/66, 193/397?

Answer: LCM of Numerators as per given numbers 821/64, 737/66, 193/397 is

LCM of Numerators i.e. for 821,737,193 is 116779861

GCF of denominators i.e. for 64,66,397 is 1.

Thus, LCM of Fractions is 116779861.Finally, LCM of Fractions for 821/64, 737/66, 193/397 is 116779861.