Least Common Multiple of 261/16, 834/16, 290/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 261/16, 834/16, 290/565 quickly i.e. 362790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 261/16, 834/16, 290/565 is 362790.

LCM(261/16, 834/16, 290/565) = 362790

LCM of 261/16, 834/16, 290/565

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 261/16,834/16,290/565

Given numbers are 261/16,834/16,290/565

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 261,834,290

Least Common Multiple of Numerators i.e. LCM of 261,834,290 is 362790.

GCF of Denominators means GCF of 16,16,565 as per the given fractions.

GCF of 16,16,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 261,834,290

LCM of Fractions 261/16,834/16,290/565 is 362790

2 261, 834, 290
3 261, 417, 145
29 87, 139, 145
3, 139, 5

∴ So the LCM of the given numbers is 2 x 3 x 29 x 3 x 139 x 5 = 362790

Least Common Multiple of 261,834,290 with GCF Formula

Least Common Multiple of 261,834,290 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 261,834,290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,834,290) = 1

common factors(in case of two or more numbers have common factors) = 174

GCF(261,834,290) x common factors =1 x 174 = 174

LCM(261,834,290) = ( 261 × 834 × 290 ) / 174

LCM(261,834,290) = 63125460 / 174

LCM(261,834,290) = 362790


Lets's calculate GCF of 16,16,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362790/1

Therefore the LCM of Fractions 261/16,834/16,290/565 is 362790

Greatest Common Factor of 16,16,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,16,565 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 16,16,565 . The biggest common factor number is the GCF number.
So the greatest common factor 16,16,565 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 261/16, 834/16, 290/565

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 261/16, 834/16, 290/565?

Answer: LCM of Numerators as per given numbers 261/16, 834/16, 290/565 is

LCM of Numerators i.e. for 261,834,290 is 362790

GCF of denominators i.e. for 16,16,565 is 1.

Thus, LCM of Fractions is 362790.Finally, LCM of Fractions for 261/16, 834/16, 290/565 is 362790.