Least Common Multiple of 135/12, 178/75, 275/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 135/12, 178/75, 275/595 quickly i.e. 1321650 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 135/12, 178/75, 275/595 is 1321650.

LCM(135/12, 178/75, 275/595) = 1321650

LCM of 135/12, 178/75, 275/595

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 135/12,178/75,275/595

Given numbers are 135/12,178/75,275/595

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 135,178,275

Least Common Multiple of Numerators i.e. LCM of 135,178,275 is 1321650.

GCF of Denominators means GCF of 12,75,595 as per the given fractions.

GCF of 12,75,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 135,178,275

LCM of Fractions 135/12,178/75,275/595 is 1321650

5 135, 178, 275
27, 178, 55

∴ So the LCM of the given numbers is 5 x 27 x 178 x 55 = 1321650

Least Common Multiple of 135,178,275 with GCF Formula

Least Common Multiple of 135,178,275 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 135,178,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(135,178,275) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(135,178,275) x common factors =1 x 5 = 5

LCM(135,178,275) = ( 135 × 178 × 275 ) / 5

LCM(135,178,275) = 6608250 / 5

LCM(135,178,275) = 1321650


Lets's calculate GCF of 12,75,595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1321650/1

Therefore the LCM of Fractions 135/12,178/75,275/595 is 1321650

Greatest Common Factor of 12,75,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,75,595 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 75

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

1,3,5,15,25,75

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 12,75,595 . The biggest common factor number is the GCF number.
So the greatest common factor 12,75,595 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 135/12, 178/75, 275/595

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 135/12, 178/75, 275/595?

Answer: LCM of Numerators as per given numbers 135/12, 178/75, 275/595 is

LCM of Numerators i.e. for 135,178,275 is 1321650

GCF of denominators i.e. for 12,75,595 is 1.

Thus, LCM of Fractions is 1321650.Finally, LCM of Fractions for 135/12, 178/75, 275/595 is 1321650.