Least Common Multiple of 61/123, 16/254, 166/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 61/123, 16/254, 166/231 quickly i.e. 81008 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 61/123, 16/254, 166/231 is 81008.

LCM(61/123, 16/254, 166/231) = 81008

LCM of 61/123, 16/254, 166/231

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 61/123,16/254,166/231

Given numbers are 61/123,16/254,166/231

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 61,16,166

Least Common Multiple of Numerators i.e. LCM of 61,16,166 is 81008.

GCF of Denominators means GCF of 123,254,231 as per the given fractions.

GCF of 123,254,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 61,16,166

LCM of Fractions 61/123,16/254,166/231 is 81008

2 61, 16, 166
61, 8, 83

∴ So the LCM of the given numbers is 2 x 61 x 8 x 83 = 81008

Least Common Multiple of 61,16,166 with GCF Formula

Least Common Multiple of 61,16,166 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 61,16,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,16,166) = 1

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

GCF(61,16,166) x common factors =1 x 2 = 2

LCM(61,16,166) = ( 61 × 16 × 166 ) / 2

LCM(61,16,166) = 162016 / 2

LCM(61,16,166) = 81008


Lets's calculate GCF of 123,254,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81008/1

Therefore the LCM of Fractions 61/123,16/254,166/231 is 81008

Greatest Common Factor of 123,254,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,254,231 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 123,254,231 . The biggest common factor number is the GCF number.
So the greatest common factor 123,254,231 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 61/123, 16/254, 166/231

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 61/123, 16/254, 166/231?

Answer: LCM of Numerators as per given numbers 61/123, 16/254, 166/231 is

LCM of Numerators i.e. for 61,16,166 is 81008

GCF of denominators i.e. for 123,254,231 is 1.

Thus, LCM of Fractions is 81008.Finally, LCM of Fractions for 61/123, 16/254, 166/231 is 81008.