Least Common Multiple of 814/81, 723/25, 970/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/81, 723/25, 970/599 quickly i.e. 285433170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/81, 723/25, 970/599 is 285433170.

LCM(814/81, 723/25, 970/599) = 285433170

LCM of 814/81, 723/25, 970/599

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 814/81,723/25,970/599

Given numbers are 814/81,723/25,970/599

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 814,723,970

Least Common Multiple of Numerators i.e. LCM of 814,723,970 is 285433170.

GCF of Denominators means GCF of 81,25,599 as per the given fractions.

GCF of 81,25,599 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,723,970

LCM of Fractions 814/81,723/25,970/599 is 285433170

2 814, 723, 970
407, 723, 485

∴ So the LCM of the given numbers is 2 x 407 x 723 x 485 = 285433170

Least Common Multiple of 814,723,970 with GCF Formula

Least Common Multiple of 814,723,970 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 814,723,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,723,970) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(814,723,970) x common factors =1 x 2 = 2

LCM(814,723,970) = ( 814 × 723 × 970 ) / 2

LCM(814,723,970) = 570866340 / 2

LCM(814,723,970) = 285433170


Lets's calculate GCF of 81,25,599

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 285433170/1

Therefore the LCM of Fractions 814/81,723/25,970/599 is 285433170

Greatest Common Factor of 81,25,599 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,25,599 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 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Greatest Common Factor

We found the factors 81,25,599 . The biggest common factor number is the GCF number.
So the greatest common factor 81,25,599 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 814/81, 723/25, 970/599

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 814/81, 723/25, 970/599?

Answer: LCM of Numerators as per given numbers 814/81, 723/25, 970/599 is

LCM of Numerators i.e. for 814,723,970 is 285433170

GCF of denominators i.e. for 81,25,599 is 1.

Thus, LCM of Fractions is 285433170.Finally, LCM of Fractions for 814/81, 723/25, 970/599 is 285433170.