Least Common Multiple of 38/32, 17/34, 164/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/32, 17/34, 164/301 quickly i.e. 52972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/32, 17/34, 164/301 is 52972.

LCM(38/32, 17/34, 164/301) = 52972

LCM of 38/32, 17/34, 164/301

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 38/32,17/34,164/301

Given numbers are 38/32,17/34,164/301

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 38,17,164

Least Common Multiple of Numerators i.e. LCM of 38,17,164 is 52972.

GCF of Denominators means GCF of 32,34,301 as per the given fractions.

GCF of 32,34,301 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,17,164

LCM of Fractions 38/32,17/34,164/301 is 52972

2 38, 17, 164
19, 17, 82

∴ So the LCM of the given numbers is 2 x 19 x 17 x 82 = 52972

Least Common Multiple of 38,17,164 with GCF Formula

Least Common Multiple of 38,17,164 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 38,17,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,17,164) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,17,164) x common factors =1 x 2 = 2

LCM(38,17,164) = ( 38 × 17 × 164 ) / 2

LCM(38,17,164) = 105944 / 2

LCM(38,17,164) = 52972


Lets's calculate GCF of 32,34,301

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52972/1

Therefore the LCM of Fractions 38/32,17/34,164/301 is 52972

Greatest Common Factor of 32,34,301 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,34,301 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Greatest Common Factor

We found the factors 32,34,301 . The biggest common factor number is the GCF number.
So the greatest common factor 32,34,301 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 38/32, 17/34, 164/301

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 38/32, 17/34, 164/301?

Answer: LCM of Numerators as per given numbers 38/32, 17/34, 164/301 is

LCM of Numerators i.e. for 38,17,164 is 52972

GCF of denominators i.e. for 32,34,301 is 1.

Thus, LCM of Fractions is 52972.Finally, LCM of Fractions for 38/32, 17/34, 164/301 is 52972.