Least Common Multiple of 81/290, 54/680, 465/614

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/290, 54/680, 465/614 quickly i.e. 12555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/290, 54/680, 465/614 is 12555.

LCM(81/290, 54/680, 465/614) = 12555

LCM of 81/290, 54/680, 465/614

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 81/290,54/680,465/614

Given numbers are 81/290,54/680,465/614

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 81,54,465

Least Common Multiple of Numerators i.e. LCM of 81,54,465 is 25110.

GCF of Denominators means GCF of 290,680,614 as per the given fractions.

GCF of 290,680,614 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,54,465

LCM of Fractions 81/290,54/680,465/614 is 12555

3 81, 54, 465
3 27, 18, 155
3 9, 6, 155
3, 2, 155

∴ So the LCM of the given numbers is 3 x 3 x 3 x 3 x 2 x 155 = 25110

Least Common Multiple of 81,54,465 with GCF Formula

Least Common Multiple of 81,54,465 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 81,54,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,54,465) = 3

common factors(in case of two or more numbers have common factors) = 27

GCF(81,54,465) x common factors =3 x 27 = 81

LCM(81,54,465) = ( 81 × 54 × 465 ) / 81

LCM(81,54,465) = 2033910 / 81

LCM(81,54,465) = 25110


Lets's calculate GCF of 290,680,614

2 290, 680, 614
145, 340, 307

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25110/2

Therefore the LCM of Fractions 81/290,54/680,465/614 is 12555

Greatest Common Factor of 290,680,614 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,680,614 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors 290,680,614 . The biggest common factor number is the GCF number.
So the greatest common factor 290,680,614 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 81/290, 54/680, 465/614

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 81/290, 54/680, 465/614?

Answer: LCM of Numerators as per given numbers 81/290, 54/680, 465/614 is

LCM of Numerators i.e. for 81,54,465 is 25110

GCF of denominators i.e. for 290,680,614 is 2.

Thus, LCM of Fractions is 12555.Finally, LCM of Fractions for 81/290, 54/680, 465/614 is 12555.