Least Common Multiple of 38/75, 53/34, 477/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/75, 53/34, 477/405 quickly i.e. 18126 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/75, 53/34, 477/405 is 18126.

LCM(38/75, 53/34, 477/405) = 18126

LCM of 38/75, 53/34, 477/405

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 38/75,53/34,477/405

Given numbers are 38/75,53/34,477/405

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 38,53,477

Least Common Multiple of Numerators i.e. LCM of 38,53,477 is 18126.

GCF of Denominators means GCF of 75,34,405 as per the given fractions.

GCF of 75,34,405 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,53,477

LCM of Fractions 38/75,53/34,477/405 is 18126

53 38, 53, 477
38, 1, 9

∴ So the LCM of the given numbers is 53 x 38 x 1 x 9 = 18126

Least Common Multiple of 38,53,477 with GCF Formula

Least Common Multiple of 38,53,477 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 38,53,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,53,477) = 1

common factors(in case of two or more numbers have common factors) = 53

GCF(38,53,477) x common factors =1 x 53 = 53

LCM(38,53,477) = ( 38 × 53 × 477 ) / 53

LCM(38,53,477) = 960678 / 53

LCM(38,53,477) = 18126


Lets's calculate GCF of 75,34,405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18126/1

Therefore the LCM of Fractions 38/75,53/34,477/405 is 18126

Greatest Common Factor of 75,34,405 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,34,405 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 34

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

1,2,17,34

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

Greatest Common Factor

We found the factors 75,34,405 . The biggest common factor number is the GCF number.
So the greatest common factor 75,34,405 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 38/75, 53/34, 477/405

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 38/75, 53/34, 477/405?

Answer: LCM of Numerators as per given numbers 38/75, 53/34, 477/405 is

LCM of Numerators i.e. for 38,53,477 is 18126

GCF of denominators i.e. for 75,34,405 is 1.

Thus, LCM of Fractions is 18126.Finally, LCM of Fractions for 38/75, 53/34, 477/405 is 18126.