Least Common Multiple of 19/38, 575/34, 706/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/38, 575/34, 706/366 quickly i.e. 3856525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/38, 575/34, 706/366 is 3856525.

LCM(19/38, 575/34, 706/366) = 3856525

LCM of 19/38, 575/34, 706/366

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 19/38,575/34,706/366

Given numbers are 19/38,575/34,706/366

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 19,575,706

Least Common Multiple of Numerators i.e. LCM of 19,575,706 is 7713050.

GCF of Denominators means GCF of 38,34,366 as per the given fractions.

GCF of 38,34,366 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,575,706

LCM of Fractions 19/38,575/34,706/366 is 3856525

Given numbers has no common factors except 1. So, there LCM is their product i.e 7713050

Least Common Multiple of 19,575,706 with GCF Formula

Least Common Multiple of 19,575,706 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 19,575,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,575,706) = 1

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

GCF(19,575,706) x common factors =1 x 1 = 1

LCM(19,575,706) = ( 19 × 575 × 706 ) / 1

LCM(19,575,706) = 7713050 / 1

LCM(19,575,706) = 7713050


Lets's calculate GCF of 38,34,366

2 38, 34, 366
19, 17, 183

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7713050/2

Therefore the LCM of Fractions 19/38,575/34,706/366 is 3856525

Greatest Common Factor of 38,34,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,34,366 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 38,34,366 . The biggest common factor number is the GCF number.
So the greatest common factor 38,34,366 is 2.


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 19/38, 575/34, 706/366

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 19/38, 575/34, 706/366?

Answer: LCM of Numerators as per given numbers 19/38, 575/34, 706/366 is

LCM of Numerators i.e. for 19,575,706 is 7713050

GCF of denominators i.e. for 38,34,366 is 2.

Thus, LCM of Fractions is 3856525.Finally, LCM of Fractions for 19/38, 575/34, 706/366 is 3856525.