Least Common Multiple of 1/146, 74/258, 89/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/146, 74/258, 89/286 quickly i.e. 3293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/146, 74/258, 89/286 is 3293.

LCM(1/146, 74/258, 89/286) = 3293

LCM of 1/146, 74/258, 89/286

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 1/146,74/258,89/286

Given numbers are 1/146,74/258,89/286

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 1,74,89

Least Common Multiple of Numerators i.e. LCM of 1,74,89 is 6586.

GCF of Denominators means GCF of 146,258,286 as per the given fractions.

GCF of 146,258,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,74,89

LCM of Fractions 1/146,74/258,89/286 is 3293

Given numbers has no common factors except 1. So, there LCM is their product i.e 6586

Least Common Multiple of 1,74,89 with GCF Formula

Least Common Multiple of 1,74,89 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 1,74,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,74,89) = 1

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

GCF(1,74,89) x common factors =1 x 1 = 1

LCM(1,74,89) = ( 1 × 74 × 89 ) / 1

LCM(1,74,89) = 6586 / 1

LCM(1,74,89) = 6586


Lets's calculate GCF of 146,258,286

2 146, 258, 286
73, 129, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6586/2

Therefore the LCM of Fractions 1/146,74/258,89/286 is 3293

Greatest Common Factor of 146,258,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 146,258,286 By Matching Biggest Common Factor Method

Factors of 146

List of positive integer factors of 146 that divides 146 without a remainder.

1,2,73,146

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 146,258,286 . The biggest common factor number is the GCF number.
So the greatest common factor 146,258,286 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 1/146, 74/258, 89/286

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 1/146, 74/258, 89/286?

Answer: LCM of Numerators as per given numbers 1/146, 74/258, 89/286 is

LCM of Numerators i.e. for 1,74,89 is 6586

GCF of denominators i.e. for 146,258,286 is 2.

Thus, LCM of Fractions is 3293.Finally, LCM of Fractions for 1/146, 74/258, 89/286 is 3293.