Least Common Multiple of 813/372, 788/711, 522/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/372, 788/711, 522/670 quickly i.e. 55736028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/372, 788/711, 522/670 is 55736028.

LCM(813/372, 788/711, 522/670) = 55736028

LCM of 813/372, 788/711, 522/670

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 813/372,788/711,522/670

Given numbers are 813/372,788/711,522/670

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 813,788,522

Least Common Multiple of Numerators i.e. LCM of 813,788,522 is 55736028.

GCF of Denominators means GCF of 372,711,670 as per the given fractions.

GCF of 372,711,670 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,788,522

LCM of Fractions 813/372,788/711,522/670 is 55736028

2 813, 788, 522
3 813, 394, 261
271, 394, 87

∴ So the LCM of the given numbers is 2 x 3 x 271 x 394 x 87 = 55736028

Least Common Multiple of 813,788,522 with GCF Formula

Least Common Multiple of 813,788,522 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 813,788,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,788,522) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(813,788,522) x common factors =1 x 6 = 6

LCM(813,788,522) = ( 813 × 788 × 522 ) / 6

LCM(813,788,522) = 334416168 / 6

LCM(813,788,522) = 55736028


Lets's calculate GCF of 372,711,670

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55736028/1

Therefore the LCM of Fractions 813/372,788/711,522/670 is 55736028

Greatest Common Factor of 372,711,670 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,711,670 By Matching Biggest Common Factor Method

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Greatest Common Factor

We found the factors 372,711,670 . The biggest common factor number is the GCF number.
So the greatest common factor 372,711,670 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 813/372, 788/711, 522/670

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 813/372, 788/711, 522/670?

Answer: LCM of Numerators as per given numbers 813/372, 788/711, 522/670 is

LCM of Numerators i.e. for 813,788,522 is 55736028

GCF of denominators i.e. for 372,711,670 is 1.

Thus, LCM of Fractions is 55736028.Finally, LCM of Fractions for 813/372, 788/711, 522/670 is 55736028.