Least Common Multiple of 23/38, 14/12, 95/74, 35/173

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/38, 14/12, 95/74, 35/173 quickly i.e. 30590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/38, 14/12, 95/74, 35/173 is 30590.

LCM(23/38, 14/12, 95/74, 35/173) = 30590

LCM of 23/38, 14/12, 95/74, 35/173

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 23/38,14/12,95/74,35/173

Given numbers are 23/38,14/12,95/74,35/173

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 23,14,95,35

Least Common Multiple of Numerators i.e. LCM of 23,14,95,35 is 30590.

GCF of Denominators means GCF of 38,12,74,173 as per the given fractions.

GCF of 38,12,74,173 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,14,95,35

LCM of Fractions 23/38,14/12,95/74,35/173 is 30590

5 23, 14, 95, 35
7 23, 14, 19, 7
23, 2, 19, 1

∴ So the LCM of the given numbers is 5 x 7 x 23 x 2 x 19 x 1 = 30590

Least Common Multiple of 23,14,95,35 with GCF Formula

Least Common Multiple of 23,14,95,35 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 23,14,95,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,14,95,35) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(23,14,95,35) x common factors =1 x 35 = 35

LCM(23,14,95,35) = ( 23 × 14 × 95 × 35 ) / 35

LCM(23,14,95,35) = 1070650 / 35

LCM(23,14,95,35) = 30590


Lets's calculate GCF of 38,12,74,173

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30590/1

Therefore the LCM of Fractions 23/38,14/12,95/74,35/173 is 30590

Greatest Common Factor of 38,12,74,173 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,12,74,173 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Greatest Common Factor

We found the factors 38,12,74,173 . The biggest common factor number is the GCF number.
So the greatest common factor 38,12,74,173 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 23/38, 14/12, 95/74, 35/173

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 23/38, 14/12, 95/74, 35/173?

Answer: LCM of Numerators as per given numbers 23/38, 14/12, 95/74, 35/173 is

LCM of Numerators i.e. for 23,14,95,35 is 30590

GCF of denominators i.e. for 38,12,74,173 is 1.

Thus, LCM of Fractions is 30590.Finally, LCM of Fractions for 23/38, 14/12, 95/74, 35/173 is 30590.