Least Common Multiple of 813/72, 389/88, 258/534

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 813/72, 389/88, 258/534 quickly i.e. 13599051 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 813/72, 389/88, 258/534 is 13599051.

LCM(813/72, 389/88, 258/534) = 13599051

LCM of 813/72, 389/88, 258/534

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 813/72,389/88,258/534

Given numbers are 813/72,389/88,258/534

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 813,389,258

Least Common Multiple of Numerators i.e. LCM of 813,389,258 is 27198102.

GCF of Denominators means GCF of 72,88,534 as per the given fractions.

GCF of 72,88,534 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 813,389,258

LCM of Fractions 813/72,389/88,258/534 is 13599051

3 813, 389, 258
271, 389, 86

∴ So the LCM of the given numbers is 3 x 271 x 389 x 86 = 27198102

Least Common Multiple of 813,389,258 with GCF Formula

Least Common Multiple of 813,389,258 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 813,389,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(813,389,258) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(813,389,258) x common factors =1 x 3 = 3

LCM(813,389,258) = ( 813 × 389 × 258 ) / 3

LCM(813,389,258) = 81594306 / 3

LCM(813,389,258) = 27198102


Lets's calculate GCF of 72,88,534

2 72, 88, 534
36, 44, 267

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27198102/2

Therefore the LCM of Fractions 813/72,389/88,258/534 is 13599051

Greatest Common Factor of 72,88,534 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,88,534 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Greatest Common Factor

We found the factors 72,88,534 . The biggest common factor number is the GCF number.
So the greatest common factor 72,88,534 is 2.


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 813/72, 389/88, 258/534

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 813/72, 389/88, 258/534?

Answer: LCM of Numerators as per given numbers 813/72, 389/88, 258/534 is

LCM of Numerators i.e. for 813,389,258 is 27198102

GCF of denominators i.e. for 72,88,534 is 2.

Thus, LCM of Fractions is 13599051.Finally, LCM of Fractions for 813/72, 389/88, 258/534 is 13599051.