Least Common Multiple of 38/734, 5272/6034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 38/734, 5272/6034 quickly i.e. 50084 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/734, 5272/6034 is 50084.

LCM(38/734, 5272/6034) = 50084

LCM of 38/734, 5272/6034

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 38/734,5272/6034

Given numbers are 38/734,5272/6034

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 38,5272

Least Common Multiple of Numerators i.e. LCM of 38,5272 is 100168.

GCF of Denominators means GCF of 734,6034 as per the given fractions.

GCF of 734,6034 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,5272

LCM of Fractions 38/734,5272/6034 is 50084

2 38, 5272
19, 2636

∴ So the LCM of the given numbers is 2 x 19 x 2636 = 100168

Least Common Multiple of 38,5272 with GCF Formula

Least Common Multiple of 38,5272 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 38,5272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,5272) = 2

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

GCF(38,5272) x common factors =2 x 1 = 2

LCM(38,5272) = ( 38 × 5272 ) / 2

LCM(38,5272) = 200336 / 2

LCM(38,5272) = 100168


Lets's calculate GCF of 734,6034

2 734, 6034
367, 3017

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100168/2

Therefore the LCM of Fractions 38/734,5272/6034 is 50084

Greatest Common Factor of 734,6034 By Matching Biggest Common Factor Method

Greatest Common Factor of 734,6034 By Matching Biggest Common Factor Method

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 6034

List of positive integer factors of 6034 that divides 6034 without a remainder.

1,2,7,14,431,862,3017,6034

Greatest Common Factor

We found the factors 734,6034 . The biggest common factor number is the GCF number.
So the greatest common factor 734,6034 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 38/734, 5272/6034

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 38/734, 5272/6034?

Answer: LCM of Numerators as per given numbers 38/734, 5272/6034 is

LCM of Numerators i.e. for 38,5272 is 100168

GCF of denominators i.e. for 734,6034 is 2.

Thus, LCM of Fractions is 50084.Finally, LCM of Fractions for 38/734, 5272/6034 is 50084.