Least Common Multiple of 38/44, 55/17, 33/59, 23/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/44, 55/17, 33/59, 23/942 quickly i.e. 144210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/44, 55/17, 33/59, 23/942 is 144210.

LCM(38/44, 55/17, 33/59, 23/942) = 144210

LCM of 38/44, 55/17, 33/59, 23/942

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 38/44,55/17,33/59,23/942

Given numbers are 38/44,55/17,33/59,23/942

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 38,55,33,23

Least Common Multiple of Numerators i.e. LCM of 38,55,33,23 is 144210.

GCF of Denominators means GCF of 44,17,59,942 as per the given fractions.

GCF of 44,17,59,942 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,55,33,23

LCM of Fractions 38/44,55/17,33/59,23/942 is 144210

11 38, 55, 33, 23
38, 5, 3, 23

∴ So the LCM of the given numbers is 11 x 38 x 5 x 3 x 23 = 144210

Least Common Multiple of 38,55,33,23 with GCF Formula

Least Common Multiple of 38,55,33,23 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 38,55,33,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,55,33,23) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(38,55,33,23) x common factors =1 x 11 = 11

LCM(38,55,33,23) = ( 38 × 55 × 33 × 23 ) / 11

LCM(38,55,33,23) = 1586310 / 11

LCM(38,55,33,23) = 144210


Lets's calculate GCF of 44,17,59,942

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 144210/1

Therefore the LCM of Fractions 38/44,55/17,33/59,23/942 is 144210

Greatest Common Factor of 44,17,59,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,17,59,942 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 44,17,59,942 . The biggest common factor number is the GCF number.
So the greatest common factor 44,17,59,942 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 38/44, 55/17, 33/59, 23/942

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 38/44, 55/17, 33/59, 23/942?

Answer: LCM of Numerators as per given numbers 38/44, 55/17, 33/59, 23/942 is

LCM of Numerators i.e. for 38,55,33,23 is 144210

GCF of denominators i.e. for 44,17,59,942 is 1.

Thus, LCM of Fractions is 144210.Finally, LCM of Fractions for 38/44, 55/17, 33/59, 23/942 is 144210.