Least Common Multiple of 89/807, 81/372, 353/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 89/807, 81/372, 353/711 quickly i.e. 848259 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/807, 81/372, 353/711 is 848259.

LCM(89/807, 81/372, 353/711) = 848259

LCM of 89/807, 81/372, 353/711

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 89/807,81/372,353/711

Given numbers are 89/807,81/372,353/711

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 89,81,353

Least Common Multiple of Numerators i.e. LCM of 89,81,353 is 2544777.

GCF of Denominators means GCF of 807,372,711 as per the given fractions.

GCF of 807,372,711 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,81,353

LCM of Fractions 89/807,81/372,353/711 is 848259

Given numbers has no common factors except 1. So, there LCM is their product i.e 2544777

Least Common Multiple of 89,81,353 with GCF Formula

Least Common Multiple of 89,81,353 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 89,81,353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,81,353) = 1

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

GCF(89,81,353) x common factors =1 x 1 = 1

LCM(89,81,353) = ( 89 × 81 × 353 ) / 1

LCM(89,81,353) = 2544777 / 1

LCM(89,81,353) = 2544777


Lets's calculate GCF of 807,372,711

3 807, 372, 711
269, 124, 237

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2544777/3

Therefore the LCM of Fractions 89/807,81/372,353/711 is 848259

Greatest Common Factor of 807,372,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,372,711 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

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

Greatest Common Factor

We found the factors 807,372,711 . The biggest common factor number is the GCF number.
So the greatest common factor 807,372,711 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 89/807, 81/372, 353/711

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 89/807, 81/372, 353/711?

Answer: LCM of Numerators as per given numbers 89/807, 81/372, 353/711 is

LCM of Numerators i.e. for 89,81,353 is 2544777

GCF of denominators i.e. for 807,372,711 is 3.

Thus, LCM of Fractions is 848259.Finally, LCM of Fractions for 89/807, 81/372, 353/711 is 848259.