Least Common Multiple of 19/66, 253/12, 744/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/66, 253/12, 744/711 quickly i.e. 1192136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/66, 253/12, 744/711 is 1192136.

LCM(19/66, 253/12, 744/711) = 1192136

LCM of 19/66, 253/12, 744/711

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 19/66,253/12,744/711

Given numbers are 19/66,253/12,744/711

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 19,253,744

Least Common Multiple of Numerators i.e. LCM of 19,253,744 is 3576408.

GCF of Denominators means GCF of 66,12,711 as per the given fractions.

GCF of 66,12,711 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,253,744

LCM of Fractions 19/66,253/12,744/711 is 1192136

Given numbers has no common factors except 1. So, there LCM is their product i.e 3576408

Least Common Multiple of 19,253,744 with GCF Formula

Least Common Multiple of 19,253,744 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 19,253,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,253,744) = 1

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

GCF(19,253,744) x common factors =1 x 1 = 1

LCM(19,253,744) = ( 19 × 253 × 744 ) / 1

LCM(19,253,744) = 3576408 / 1

LCM(19,253,744) = 3576408


Lets's calculate GCF of 66,12,711

3 66, 12, 711
22, 4, 237

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3576408/3

Therefore the LCM of Fractions 19/66,253/12,744/711 is 1192136

Greatest Common Factor of 66,12,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,12,711 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 12

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

1,2,3,4,6,12

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 66,12,711 . The biggest common factor number is the GCF number.
So the greatest common factor 66,12,711 is 3.


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 19/66, 253/12, 744/711

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 19/66, 253/12, 744/711?

Answer: LCM of Numerators as per given numbers 19/66, 253/12, 744/711 is

LCM of Numerators i.e. for 19,253,744 is 3576408

GCF of denominators i.e. for 66,12,711 is 3.

Thus, LCM of Fractions is 1192136.Finally, LCM of Fractions for 19/66, 253/12, 744/711 is 1192136.