Least Common Multiple of 15/95, 80/75, 23/70, 38/925

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/95, 80/75, 23/70, 38/925 quickly i.e. 20976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/95, 80/75, 23/70, 38/925 is 20976.

LCM(15/95, 80/75, 23/70, 38/925) = 20976

LCM of 15/95, 80/75, 23/70, 38/925

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 15/95,80/75,23/70,38/925

Given numbers are 15/95,80/75,23/70,38/925

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 15,80,23,38

Least Common Multiple of Numerators i.e. LCM of 15,80,23,38 is 104880.

GCF of Denominators means GCF of 95,75,70,925 as per the given fractions.

GCF of 95,75,70,925 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,80,23,38

LCM of Fractions 15/95,80/75,23/70,38/925 is 20976

2 15, 80, 23, 38
5 15, 40, 23, 19
3, 8, 23, 19

∴ So the LCM of the given numbers is 2 x 5 x 3 x 8 x 23 x 19 = 104880

Least Common Multiple of 15,80,23,38 with GCF Formula

Least Common Multiple of 15,80,23,38 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 15,80,23,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,80,23,38) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(15,80,23,38) x common factors =1 x 10 = 10

LCM(15,80,23,38) = ( 15 × 80 × 23 × 38 ) / 10

LCM(15,80,23,38) = 1048800 / 10

LCM(15,80,23,38) = 104880


Lets's calculate GCF of 95,75,70,925

5 95, 75, 70, 925
19, 15, 14, 185

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104880/5

Therefore the LCM of Fractions 15/95,80/75,23/70,38/925 is 20976

Greatest Common Factor of 95,75,70,925 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,75,70,925 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Greatest Common Factor

We found the factors 95,75,70,925 . The biggest common factor number is the GCF number.
So the greatest common factor 95,75,70,925 is 5.


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 15/95, 80/75, 23/70, 38/925

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 15/95, 80/75, 23/70, 38/925?

Answer: LCM of Numerators as per given numbers 15/95, 80/75, 23/70, 38/925 is

LCM of Numerators i.e. for 15,80,23,38 is 104880

GCF of denominators i.e. for 95,75,70,925 is 5.

Thus, LCM of Fractions is 20976.Finally, LCM of Fractions for 15/95, 80/75, 23/70, 38/925 is 20976.