Least Common Multiple of 199/74, 312/31, 511/189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/74, 312/31, 511/189 quickly i.e. 31726968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/74, 312/31, 511/189 is 31726968.

LCM(199/74, 312/31, 511/189) = 31726968

LCM of 199/74, 312/31, 511/189

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 199/74,312/31,511/189

Given numbers are 199/74,312/31,511/189

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 199,312,511

Least Common Multiple of Numerators i.e. LCM of 199,312,511 is 31726968.

GCF of Denominators means GCF of 74,31,189 as per the given fractions.

GCF of 74,31,189 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,312,511

LCM of Fractions 199/74,312/31,511/189 is 31726968

Given numbers has no common factors except 1. So, there LCM is their product i.e 31726968

Least Common Multiple of 199,312,511 with GCF Formula

Least Common Multiple of 199,312,511 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 199,312,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,312,511) = 1

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

GCF(199,312,511) x common factors =1 x 1 = 1

LCM(199,312,511) = ( 199 × 312 × 511 ) / 1

LCM(199,312,511) = 31726968 / 1

LCM(199,312,511) = 31726968


Lets's calculate GCF of 74,31,189

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31726968/1

Therefore the LCM of Fractions 199/74,312/31,511/189 is 31726968

Greatest Common Factor of 74,31,189 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,31,189 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Greatest Common Factor

We found the factors 74,31,189 . The biggest common factor number is the GCF number.
So the greatest common factor 74,31,189 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 199/74, 312/31, 511/189

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 199/74, 312/31, 511/189?

Answer: LCM of Numerators as per given numbers 199/74, 312/31, 511/189 is

LCM of Numerators i.e. for 199,312,511 is 31726968

GCF of denominators i.e. for 74,31,189 is 1.

Thus, LCM of Fractions is 31726968.Finally, LCM of Fractions for 199/74, 312/31, 511/189 is 31726968.