Least Common Multiple of 592/85, 141/30, 133/395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 592/85, 141/30, 133/395 quickly i.e. 11101776/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 592/85, 141/30, 133/395 is 11101776/5.

LCM(592/85, 141/30, 133/395) = 11101776/5

LCM of 592/85, 141/30, 133/395

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 592/85,141/30,133/395

Given numbers are 592/85,141/30,133/395

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 592,141,133

Least Common Multiple of Numerators i.e. LCM of 592,141,133 is 11101776.

GCF of Denominators means GCF of 85,30,395 as per the given fractions.

GCF of 85,30,395 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 592,141,133

LCM of Fractions 592/85,141/30,133/395 is 11101776/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 11101776

Least Common Multiple of 592,141,133 with GCF Formula

Least Common Multiple of 592,141,133 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 592,141,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(592,141,133) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(592,141,133) x common factors =1 x 1 = 1

LCM(592,141,133) = ( 592 × 141 × 133 ) / 1

LCM(592,141,133) = 11101776 / 1

LCM(592,141,133) = 11101776


Lets's calculate GCF of 85,30,395

5 85, 30, 395
17, 6, 79

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11101776/5

Therefore the LCM of Fractions 592/85,141/30,133/395 is 11101776/5

Greatest Common Factor of 85,30,395 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,30,395 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 395

List of positive integer factors of 395 that divides 395 without a remainder.

1,5,79,395

Greatest Common Factor

We found the factors 85,30,395 . The biggest common factor number is the GCF number.
So the greatest common factor 85,30,395 is 5.


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 592/85, 141/30, 133/395

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 592/85, 141/30, 133/395?

Answer: LCM of Numerators as per given numbers 592/85, 141/30, 133/395 is

LCM of Numerators i.e. for 592,141,133 is 11101776

GCF of denominators i.e. for 85,30,395 is 5.

Thus, LCM of Fractions is 11101776/5.Finally, LCM of Fractions for 592/85, 141/30, 133/395 is 11101776/5.