Least Common Multiple of 5/57, 83/190, 11/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5/57, 83/190, 11/608 quickly i.e. 4565/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5/57, 83/190, 11/608 is 4565/19.

LCM(5/57, 83/190, 11/608) = 4565/19

LCM of 5/57, 83/190, 11/608

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 5/57,83/190,11/608

Given numbers are 5/57,83/190,11/608

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 5,83,11

Least Common Multiple of Numerators i.e. LCM of 5,83,11 is 4565.

GCF of Denominators means GCF of 57,190,608 as per the given fractions.

GCF of 57,190,608 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5,83,11

LCM of Fractions 5/57,83/190,11/608 is 4565/19

Given numbers has no common factors except 1. So, there LCM is their product i.e 4565

Least Common Multiple of 5,83,11 with GCF Formula

Least Common Multiple of 5,83,11 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 5,83,11 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,83,11) = 1

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

GCF(5,83,11) x common factors =1 x 1 = 1

LCM(5,83,11) = ( 5 × 83 × 11 ) / 1

LCM(5,83,11) = 4565 / 1

LCM(5,83,11) = 4565


Lets's calculate GCF of 57,190,608

19 57, 190, 608
3, 10, 32

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4565/19

Therefore the LCM of Fractions 5/57,83/190,11/608 is 4565/19

Greatest Common Factor of 57,190,608 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,190,608 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 190

List of positive integer factors of 190 that divides 190 without a remainder.

1,2,5,10,19,38,95,190

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Greatest Common Factor

We found the factors 57,190,608 . The biggest common factor number is the GCF number.
So the greatest common factor 57,190,608 is 19.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5/57, 83/190, 11/608

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 5/57, 83/190, 11/608?

Answer: LCM of Numerators as per given numbers 5/57, 83/190, 11/608 is

LCM of Numerators i.e. for 5,83,11 is 4565

GCF of denominators i.e. for 57,190,608 is 19.

Thus, LCM of Fractions is 4565/19.Finally, LCM of Fractions for 5/57, 83/190, 11/608 is 4565/19.