Least Common Multiple of 71/834, 178/213, 993/576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/834, 178/213, 993/576 quickly i.e. 4183178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/834, 178/213, 993/576 is 4183178.

LCM(71/834, 178/213, 993/576) = 4183178

LCM of 71/834, 178/213, 993/576

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 71/834,178/213,993/576

Given numbers are 71/834,178/213,993/576

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 71,178,993

Least Common Multiple of Numerators i.e. LCM of 71,178,993 is 12549534.

GCF of Denominators means GCF of 834,213,576 as per the given fractions.

GCF of 834,213,576 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,178,993

LCM of Fractions 71/834,178/213,993/576 is 4183178

Given numbers has no common factors except 1. So, there LCM is their product i.e 12549534

Least Common Multiple of 71,178,993 with GCF Formula

Least Common Multiple of 71,178,993 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 71,178,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,178,993) = 1

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

GCF(71,178,993) x common factors =1 x 1 = 1

LCM(71,178,993) = ( 71 × 178 × 993 ) / 1

LCM(71,178,993) = 12549534 / 1

LCM(71,178,993) = 12549534


Lets's calculate GCF of 834,213,576

3 834, 213, 576
278, 71, 192

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12549534/3

Therefore the LCM of Fractions 71/834,178/213,993/576 is 4183178

Greatest Common Factor of 834,213,576 By Matching Biggest Common Factor Method

Greatest Common Factor of 834,213,576 By Matching Biggest Common Factor Method

Factors of 834

List of positive integer factors of 834 that divides 834 without a remainder.

1,2,3,6,139,278,417,834

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Greatest Common Factor

We found the factors 834,213,576 . The biggest common factor number is the GCF number.
So the greatest common factor 834,213,576 is 3.


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 71/834, 178/213, 993/576

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 71/834, 178/213, 993/576?

Answer: LCM of Numerators as per given numbers 71/834, 178/213, 993/576 is

LCM of Numerators i.e. for 71,178,993 is 12549534

GCF of denominators i.e. for 834,213,576 is 3.

Thus, LCM of Fractions is 4183178.Finally, LCM of Fractions for 71/834, 178/213, 993/576 is 4183178.