Least Common Multiple of 38/56, 25/53, 31/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/56, 25/53, 31/565 quickly i.e. 29450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/56, 25/53, 31/565 is 29450.

LCM(38/56, 25/53, 31/565) = 29450

LCM of 38/56, 25/53, 31/565

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 38/56,25/53,31/565

Given numbers are 38/56,25/53,31/565

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 38,25,31

Least Common Multiple of Numerators i.e. LCM of 38,25,31 is 29450.

GCF of Denominators means GCF of 56,53,565 as per the given fractions.

GCF of 56,53,565 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,25,31

LCM of Fractions 38/56,25/53,31/565 is 29450

Given numbers has no common factors except 1. So, there LCM is their product i.e 29450

Least Common Multiple of 38,25,31 with GCF Formula

Least Common Multiple of 38,25,31 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 38,25,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,25,31) = 1

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

GCF(38,25,31) x common factors =1 x 1 = 1

LCM(38,25,31) = ( 38 × 25 × 31 ) / 1

LCM(38,25,31) = 29450 / 1

LCM(38,25,31) = 29450


Lets's calculate GCF of 56,53,565

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29450/1

Therefore the LCM of Fractions 38/56,25/53,31/565 is 29450

Greatest Common Factor of 56,53,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,53,565 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 56,53,565 . The biggest common factor number is the GCF number.
So the greatest common factor 56,53,565 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 38/56, 25/53, 31/565

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 38/56, 25/53, 31/565?

Answer: LCM of Numerators as per given numbers 38/56, 25/53, 31/565 is

LCM of Numerators i.e. for 38,25,31 is 29450

GCF of denominators i.e. for 56,53,565 is 1.

Thus, LCM of Fractions is 29450.Finally, LCM of Fractions for 38/56, 25/53, 31/565 is 29450.