Least Common Multiple of 19/60, 504/51, 466/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/60, 504/51, 466/814 quickly i.e. 2231208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/60, 504/51, 466/814 is 2231208.

LCM(19/60, 504/51, 466/814) = 2231208

LCM of 19/60, 504/51, 466/814

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 19/60,504/51,466/814

Given numbers are 19/60,504/51,466/814

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 19,504,466

Least Common Multiple of Numerators i.e. LCM of 19,504,466 is 2231208.

GCF of Denominators means GCF of 60,51,814 as per the given fractions.

GCF of 60,51,814 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,504,466

LCM of Fractions 19/60,504/51,466/814 is 2231208

2 19, 504, 466
19, 252, 233

∴ So the LCM of the given numbers is 2 x 19 x 252 x 233 = 2231208

Least Common Multiple of 19,504,466 with GCF Formula

Least Common Multiple of 19,504,466 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 19,504,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,504,466) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(19,504,466) x common factors =1 x 2 = 2

LCM(19,504,466) = ( 19 × 504 × 466 ) / 2

LCM(19,504,466) = 4462416 / 2

LCM(19,504,466) = 2231208


Lets's calculate GCF of 60,51,814

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2231208/1

Therefore the LCM of Fractions 19/60,504/51,466/814 is 2231208

Greatest Common Factor of 60,51,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 60,51,814 By Matching Biggest Common Factor Method

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 60,51,814 . The biggest common factor number is the GCF number.
So the greatest common factor 60,51,814 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 19/60, 504/51, 466/814

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 19/60, 504/51, 466/814?

Answer: LCM of Numerators as per given numbers 19/60, 504/51, 466/814 is

LCM of Numerators i.e. for 19,504,466 is 2231208

GCF of denominators i.e. for 60,51,814 is 1.

Thus, LCM of Fractions is 2231208.Finally, LCM of Fractions for 19/60, 504/51, 466/814 is 2231208.