Least Common Multiple of 38/75, 600/22, 135/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/75, 600/22, 135/545 quickly i.e. 102600 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, 600/22, 135/545 is 102600.

LCM(38/75, 600/22, 135/545) = 102600

LCM of 38/75, 600/22, 135/545

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 38/75,600/22,135/545

Given numbers are 38/75,600/22,135/545

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 38,600,135

Least Common Multiple of Numerators i.e. LCM of 38,600,135 is 102600.

GCF of Denominators means GCF of 75,22,545 as per the given fractions.

GCF of 75,22,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,600,135

LCM of Fractions 38/75,600/22,135/545 is 102600

2 38, 600, 135
3 19, 300, 135
5 19, 100, 45
19, 20, 9

∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 20 x 9 = 102600

Least Common Multiple of 38,600,135 with GCF Formula

Least Common Multiple of 38,600,135 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 38,600,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,600,135) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(38,600,135) x common factors =1 x 30 = 30

LCM(38,600,135) = ( 38 × 600 × 135 ) / 30

LCM(38,600,135) = 3078000 / 30

LCM(38,600,135) = 102600


Lets's calculate GCF of 75,22,545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102600/1

Therefore the LCM of Fractions 38/75,600/22,135/545 is 102600

Greatest Common Factor of 75,22,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,22,545 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 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 75,22,545 . The biggest common factor number is the GCF number.
So the greatest common factor 75,22,545 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, 600/22, 135/545

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, 600/22, 135/545?

Answer: LCM of Numerators as per given numbers 38/75, 600/22, 135/545 is

LCM of Numerators i.e. for 38,600,135 is 102600

GCF of denominators i.e. for 75,22,545 is 1.

Thus, LCM of Fractions is 102600.Finally, LCM of Fractions for 38/75, 600/22, 135/545 is 102600.