Least Common Multiple of 81/259, 661/10, 853/166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/259, 661/10, 853/166 quickly i.e. 45670473 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/259, 661/10, 853/166 is 45670473.

LCM(81/259, 661/10, 853/166) = 45670473

LCM of 81/259, 661/10, 853/166

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 81/259,661/10,853/166

Given numbers are 81/259,661/10,853/166

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 81,661,853

Least Common Multiple of Numerators i.e. LCM of 81,661,853 is 45670473.

GCF of Denominators means GCF of 259,10,166 as per the given fractions.

GCF of 259,10,166 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,661,853

LCM of Fractions 81/259,661/10,853/166 is 45670473

Given numbers has no common factors except 1. So, there LCM is their product i.e 45670473

Least Common Multiple of 81,661,853 with GCF Formula

Least Common Multiple of 81,661,853 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 81,661,853 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,661,853) = 1

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

GCF(81,661,853) x common factors =1 x 1 = 1

LCM(81,661,853) = ( 81 × 661 × 853 ) / 1

LCM(81,661,853) = 45670473 / 1

LCM(81,661,853) = 45670473


Lets's calculate GCF of 259,10,166

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45670473/1

Therefore the LCM of Fractions 81/259,661/10,853/166 is 45670473

Greatest Common Factor of 259,10,166 By Matching Biggest Common Factor Method

Greatest Common Factor of 259,10,166 By Matching Biggest Common Factor Method

Factors of 259

List of positive integer factors of 259 that divides 259 without a remainder.

1,7,37,259

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Greatest Common Factor

We found the factors 259,10,166 . The biggest common factor number is the GCF number.
So the greatest common factor 259,10,166 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 81/259, 661/10, 853/166

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 81/259, 661/10, 853/166?

Answer: LCM of Numerators as per given numbers 81/259, 661/10, 853/166 is

LCM of Numerators i.e. for 81,661,853 is 45670473

GCF of denominators i.e. for 259,10,166 is 1.

Thus, LCM of Fractions is 45670473.Finally, LCM of Fractions for 81/259, 661/10, 853/166 is 45670473.