Least Common Multiple of 23/60, 81/44, 17/38, 58/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/60, 81/44, 17/38, 58/110 quickly i.e. 918459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/60, 81/44, 17/38, 58/110 is 918459.

LCM(23/60, 81/44, 17/38, 58/110) = 918459

LCM of 23/60, 81/44, 17/38, 58/110

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 23/60,81/44,17/38,58/110

Given numbers are 23/60,81/44,17/38,58/110

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 23,81,17,58

Least Common Multiple of Numerators i.e. LCM of 23,81,17,58 is 1836918.

GCF of Denominators means GCF of 60,44,38,110 as per the given fractions.

GCF of 60,44,38,110 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,81,17,58

LCM of Fractions 23/60,81/44,17/38,58/110 is 918459

Given numbers has no common factors except 1. So, there LCM is their product i.e 1836918

Least Common Multiple of 23,81,17,58 with GCF Formula

Least Common Multiple of 23,81,17,58 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 23,81,17,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,81,17,58) = 1

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

GCF(23,81,17,58) x common factors =1 x 1 = 1

LCM(23,81,17,58) = ( 23 × 81 × 17 × 58 ) / 1

LCM(23,81,17,58) = 1836918 / 1

LCM(23,81,17,58) = 1836918


Lets's calculate GCF of 60,44,38,110

2 60, 44, 38, 110
30, 22, 19, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1836918/2

Therefore the LCM of Fractions 23/60,81/44,17/38,58/110 is 918459

Greatest Common Factor of 60,44,38,110 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,44,38,110 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Greatest Common Factor

We found the factors 60,44,38,110 . The biggest common factor number is the GCF number.
So the greatest common factor 60,44,38,110 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 23/60, 81/44, 17/38, 58/110

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 23/60, 81/44, 17/38, 58/110?

Answer: LCM of Numerators as per given numbers 23/60, 81/44, 17/38, 58/110 is

LCM of Numerators i.e. for 23,81,17,58 is 1836918

GCF of denominators i.e. for 60,44,38,110 is 2.

Thus, LCM of Fractions is 918459.Finally, LCM of Fractions for 23/60, 81/44, 17/38, 58/110 is 918459.