Least Common Multiple of 38/29, 95/74, 12/37, 13/891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/29, 95/74, 12/37, 13/891 quickly i.e. 14820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/29, 95/74, 12/37, 13/891 is 14820.

LCM(38/29, 95/74, 12/37, 13/891) = 14820

LCM of 38/29, 95/74, 12/37, 13/891

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 38/29,95/74,12/37,13/891

Given numbers are 38/29,95/74,12/37,13/891

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 38,95,12,13

Least Common Multiple of Numerators i.e. LCM of 38,95,12,13 is 14820.

GCF of Denominators means GCF of 29,74,37,891 as per the given fractions.

GCF of 29,74,37,891 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,95,12,13

LCM of Fractions 38/29,95/74,12/37,13/891 is 14820

2 38, 95, 12, 13
19 19, 95, 6, 13
1, 5, 6, 13

∴ So the LCM of the given numbers is 2 x 19 x 1 x 5 x 6 x 13 = 14820

Least Common Multiple of 38,95,12,13 with GCF Formula

Least Common Multiple of 38,95,12,13 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 38,95,12,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,95,12,13) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(38,95,12,13) x common factors =1 x 38 = 38

LCM(38,95,12,13) = ( 38 × 95 × 12 × 13 ) / 38

LCM(38,95,12,13) = 563160 / 38

LCM(38,95,12,13) = 14820


Lets's calculate GCF of 29,74,37,891

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14820/1

Therefore the LCM of Fractions 38/29,95/74,12/37,13/891 is 14820

Greatest Common Factor of 29,74,37,891 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,74,37,891 By Matching Biggest Common Factor Method

Factors of 29

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

1,29

Factors of 74

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

1,2,37,74

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Greatest Common Factor

We found the factors 29,74,37,891 . The biggest common factor number is the GCF number.
So the greatest common factor 29,74,37,891 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 38/29, 95/74, 12/37, 13/891

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 38/29, 95/74, 12/37, 13/891?

Answer: LCM of Numerators as per given numbers 38/29, 95/74, 12/37, 13/891 is

LCM of Numerators i.e. for 38,95,12,13 is 14820

GCF of denominators i.e. for 29,74,37,891 is 1.

Thus, LCM of Fractions is 14820.Finally, LCM of Fractions for 38/29, 95/74, 12/37, 13/891 is 14820.