Least Common Multiple of 38/507, 196/405, 532/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/507, 196/405, 532/659 quickly i.e. 3724 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/507, 196/405, 532/659 is 3724.

LCM(38/507, 196/405, 532/659) = 3724

LCM of 38/507, 196/405, 532/659

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 38/507,196/405,532/659

Given numbers are 38/507,196/405,532/659

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 38,196,532

Least Common Multiple of Numerators i.e. LCM of 38,196,532 is 3724.

GCF of Denominators means GCF of 507,405,659 as per the given fractions.

GCF of 507,405,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,196,532

LCM of Fractions 38/507,196/405,532/659 is 3724

2 38, 196, 532
2 19, 98, 266
7 19, 49, 133
19 19, 7, 19
1, 7, 1

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 1 x 7 x 1 = 3724

Least Common Multiple of 38,196,532 with GCF Formula

Least Common Multiple of 38,196,532 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 38,196,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,196,532) = 2

common factors(in case of two or more numbers have common factors) = 532

GCF(38,196,532) x common factors =2 x 532 = 1064

LCM(38,196,532) = ( 38 × 196 × 532 ) / 1064

LCM(38,196,532) = 3962336 / 1064

LCM(38,196,532) = 3724


Lets's calculate GCF of 507,405,659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3724/1

Therefore the LCM of Fractions 38/507,196/405,532/659 is 3724

Greatest Common Factor of 507,405,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,405,659 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 405

List of positive integer factors of 405 that divides 405 without a remainder.

1,3,5,9,15,27,45,81,135,405

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 507,405,659 . The biggest common factor number is the GCF number.
So the greatest common factor 507,405,659 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 38/507, 196/405, 532/659

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 38/507, 196/405, 532/659?

Answer: LCM of Numerators as per given numbers 38/507, 196/405, 532/659 is

LCM of Numerators i.e. for 38,196,532 is 3724

GCF of denominators i.e. for 507,405,659 is 1.

Thus, LCM of Fractions is 3724.Finally, LCM of Fractions for 38/507, 196/405, 532/659 is 3724.