Least Common Multiple of 19/63, 61/62, 509/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/63, 61/62, 509/224 quickly i.e. 589931 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/63, 61/62, 509/224 is 589931.

LCM(19/63, 61/62, 509/224) = 589931

LCM of 19/63, 61/62, 509/224

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 19/63,61/62,509/224

Given numbers are 19/63,61/62,509/224

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 19,61,509

Least Common Multiple of Numerators i.e. LCM of 19,61,509 is 589931.

GCF of Denominators means GCF of 63,62,224 as per the given fractions.

GCF of 63,62,224 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,61,509

LCM of Fractions 19/63,61/62,509/224 is 589931

Given numbers has no common factors except 1. So, there LCM is their product i.e 589931

Least Common Multiple of 19,61,509 with GCF Formula

Least Common Multiple of 19,61,509 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 19,61,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,61,509) = 1

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

GCF(19,61,509) x common factors =1 x 1 = 1

LCM(19,61,509) = ( 19 × 61 × 509 ) / 1

LCM(19,61,509) = 589931 / 1

LCM(19,61,509) = 589931


Lets's calculate GCF of 63,62,224

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 589931/1

Therefore the LCM of Fractions 19/63,61/62,509/224 is 589931

Greatest Common Factor of 63,62,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,62,224 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Greatest Common Factor

We found the factors 63,62,224 . The biggest common factor number is the GCF number.
So the greatest common factor 63,62,224 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 19/63, 61/62, 509/224

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 19/63, 61/62, 509/224?

Answer: LCM of Numerators as per given numbers 19/63, 61/62, 509/224 is

LCM of Numerators i.e. for 19,61,509 is 589931

GCF of denominators i.e. for 63,62,224 is 1.

Thus, LCM of Fractions is 589931.Finally, LCM of Fractions for 19/63, 61/62, 509/224 is 589931.