Least Common Multiple of 23/86, 11/609, 148/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/86, 11/609, 148/167 quickly i.e. 37444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/86, 11/609, 148/167 is 37444.

LCM(23/86, 11/609, 148/167) = 37444

LCM of 23/86, 11/609, 148/167

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 23/86,11/609,148/167

Given numbers are 23/86,11/609,148/167

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 23,11,148

Least Common Multiple of Numerators i.e. LCM of 23,11,148 is 37444.

GCF of Denominators means GCF of 86,609,167 as per the given fractions.

GCF of 86,609,167 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,11,148

LCM of Fractions 23/86,11/609,148/167 is 37444

Given numbers has no common factors except 1. So, there LCM is their product i.e 37444

Least Common Multiple of 23,11,148 with GCF Formula

Least Common Multiple of 23,11,148 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 23,11,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,11,148) = 1

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

GCF(23,11,148) x common factors =1 x 1 = 1

LCM(23,11,148) = ( 23 × 11 × 148 ) / 1

LCM(23,11,148) = 37444 / 1

LCM(23,11,148) = 37444


Lets's calculate GCF of 86,609,167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37444/1

Therefore the LCM of Fractions 23/86,11/609,148/167 is 37444

Greatest Common Factor of 86,609,167 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,609,167 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Greatest Common Factor

We found the factors 86,609,167 . The biggest common factor number is the GCF number.
So the greatest common factor 86,609,167 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 23/86, 11/609, 148/167

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 23/86, 11/609, 148/167?

Answer: LCM of Numerators as per given numbers 23/86, 11/609, 148/167 is

LCM of Numerators i.e. for 23,11,148 is 37444

GCF of denominators i.e. for 86,609,167 is 1.

Thus, LCM of Fractions is 37444.Finally, LCM of Fractions for 23/86, 11/609, 148/167 is 37444.