Least Common Multiple of 19/290, 85/679, 372/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/290, 85/679, 372/366 quickly i.e. 600780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/290, 85/679, 372/366 is 600780.

LCM(19/290, 85/679, 372/366) = 600780

LCM of 19/290, 85/679, 372/366

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 19/290,85/679,372/366

Given numbers are 19/290,85/679,372/366

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 19,85,372

Least Common Multiple of Numerators i.e. LCM of 19,85,372 is 600780.

GCF of Denominators means GCF of 290,679,366 as per the given fractions.

GCF of 290,679,366 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,85,372

LCM of Fractions 19/290,85/679,372/366 is 600780

Given numbers has no common factors except 1. So, there LCM is their product i.e 600780

Least Common Multiple of 19,85,372 with GCF Formula

Least Common Multiple of 19,85,372 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 19,85,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,85,372) = 1

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

GCF(19,85,372) x common factors =1 x 1 = 1

LCM(19,85,372) = ( 19 × 85 × 372 ) / 1

LCM(19,85,372) = 600780 / 1

LCM(19,85,372) = 600780


Lets's calculate GCF of 290,679,366

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 600780/1

Therefore the LCM of Fractions 19/290,85/679,372/366 is 600780

Greatest Common Factor of 290,679,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,679,366 By Matching Biggest Common Factor Method

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 679

List of positive integer factors of 679 that divides 679 without a remainder.

1,7,97,679

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 290,679,366 . The biggest common factor number is the GCF number.
So the greatest common factor 290,679,366 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 19/290, 85/679, 372/366

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 19/290, 85/679, 372/366?

Answer: LCM of Numerators as per given numbers 19/290, 85/679, 372/366 is

LCM of Numerators i.e. for 19,85,372 is 600780

GCF of denominators i.e. for 290,679,366 is 1.

Thus, LCM of Fractions is 600780.Finally, LCM of Fractions for 19/290, 85/679, 372/366 is 600780.