Least Common Multiple of 166/415, 107/208, 228/149

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 166/415, 107/208, 228/149 quickly i.e. 2024868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 166/415, 107/208, 228/149 is 2024868.

LCM(166/415, 107/208, 228/149) = 2024868

LCM of 166/415, 107/208, 228/149

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 166/415,107/208,228/149

Given numbers are 166/415,107/208,228/149

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 166,107,228

Least Common Multiple of Numerators i.e. LCM of 166,107,228 is 2024868.

GCF of Denominators means GCF of 415,208,149 as per the given fractions.

GCF of 415,208,149 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 166,107,228

LCM of Fractions 166/415,107/208,228/149 is 2024868

2 166, 107, 228
83, 107, 114

∴ So the LCM of the given numbers is 2 x 83 x 107 x 114 = 2024868

Least Common Multiple of 166,107,228 with GCF Formula

Least Common Multiple of 166,107,228 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 166,107,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(166,107,228) = 1

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

GCF(166,107,228) x common factors =1 x 2 = 2

LCM(166,107,228) = ( 166 × 107 × 228 ) / 2

LCM(166,107,228) = 4049736 / 2

LCM(166,107,228) = 2024868


Lets's calculate GCF of 415,208,149

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2024868/1

Therefore the LCM of Fractions 166/415,107/208,228/149 is 2024868

Greatest Common Factor of 415,208,149 By Matching Biggest Common Factor Method

Greatest Common Factor of 415,208,149 By Matching Biggest Common Factor Method

Factors of 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Greatest Common Factor

We found the factors 415,208,149 . The biggest common factor number is the GCF number.
So the greatest common factor 415,208,149 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 166/415, 107/208, 228/149

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 166/415, 107/208, 228/149?

Answer: LCM of Numerators as per given numbers 166/415, 107/208, 228/149 is

LCM of Numerators i.e. for 166,107,228 is 2024868

GCF of denominators i.e. for 415,208,149 is 1.

Thus, LCM of Fractions is 2024868.Finally, LCM of Fractions for 166/415, 107/208, 228/149 is 2024868.