Least Common Multiple of 25/18, 71/29, 15/70, 38/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/18, 71/29, 15/70, 38/218 quickly i.e. 202350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/18, 71/29, 15/70, 38/218 is 202350.

LCM(25/18, 71/29, 15/70, 38/218) = 202350

LCM of 25/18, 71/29, 15/70, 38/218

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 25/18,71/29,15/70,38/218

Given numbers are 25/18,71/29,15/70,38/218

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 25,71,15,38

Least Common Multiple of Numerators i.e. LCM of 25,71,15,38 is 202350.

GCF of Denominators means GCF of 18,29,70,218 as per the given fractions.

GCF of 18,29,70,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,71,15,38

LCM of Fractions 25/18,71/29,15/70,38/218 is 202350

5 25, 71, 15, 38
5, 71, 3, 38

∴ So the LCM of the given numbers is 5 x 5 x 71 x 3 x 38 = 202350

Least Common Multiple of 25,71,15,38 with GCF Formula

Least Common Multiple of 25,71,15,38 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 25,71,15,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,71,15,38) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,71,15,38) x common factors =1 x 5 = 5

LCM(25,71,15,38) = ( 25 × 71 × 15 × 38 ) / 5

LCM(25,71,15,38) = 1011750 / 5

LCM(25,71,15,38) = 202350


Lets's calculate GCF of 18,29,70,218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202350/1

Therefore the LCM of Fractions 25/18,71/29,15/70,38/218 is 202350

Greatest Common Factor of 18,29,70,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,29,70,218 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 18,29,70,218 . The biggest common factor number is the GCF number.
So the greatest common factor 18,29,70,218 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 25/18, 71/29, 15/70, 38/218

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 25/18, 71/29, 15/70, 38/218?

Answer: LCM of Numerators as per given numbers 25/18, 71/29, 15/70, 38/218 is

LCM of Numerators i.e. for 25,71,15,38 is 202350

GCF of denominators i.e. for 18,29,70,218 is 1.

Thus, LCM of Fractions is 202350.Finally, LCM of Fractions for 25/18, 71/29, 15/70, 38/218 is 202350.