Least Common Multiple of 38/72, 949/14, 588/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/72, 949/14, 588/508 quickly i.e. 5301114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/72, 949/14, 588/508 is 5301114.

LCM(38/72, 949/14, 588/508) = 5301114

LCM of 38/72, 949/14, 588/508

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 38/72,949/14,588/508

Given numbers are 38/72,949/14,588/508

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 38,949,588

Least Common Multiple of Numerators i.e. LCM of 38,949,588 is 10602228.

GCF of Denominators means GCF of 72,14,508 as per the given fractions.

GCF of 72,14,508 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,949,588

LCM of Fractions 38/72,949/14,588/508 is 5301114

2 38, 949, 588
19, 949, 294

∴ So the LCM of the given numbers is 2 x 19 x 949 x 294 = 10602228

Least Common Multiple of 38,949,588 with GCF Formula

Least Common Multiple of 38,949,588 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 38,949,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,949,588) = 1

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

GCF(38,949,588) x common factors =1 x 2 = 2

LCM(38,949,588) = ( 38 × 949 × 588 ) / 2

LCM(38,949,588) = 21204456 / 2

LCM(38,949,588) = 10602228


Lets's calculate GCF of 72,14,508

2 72, 14, 508
36, 7, 254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10602228/2

Therefore the LCM of Fractions 38/72,949/14,588/508 is 5301114

Greatest Common Factor of 72,14,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,14,508 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 72,14,508 . The biggest common factor number is the GCF number.
So the greatest common factor 72,14,508 is 2.


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 38/72, 949/14, 588/508

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 38/72, 949/14, 588/508?

Answer: LCM of Numerators as per given numbers 38/72, 949/14, 588/508 is

LCM of Numerators i.e. for 38,949,588 is 10602228

GCF of denominators i.e. for 72,14,508 is 2.

Thus, LCM of Fractions is 5301114.Finally, LCM of Fractions for 38/72, 949/14, 588/508 is 5301114.