Least Common Multiple of 19/686, 24/317, 351/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/686, 24/317, 351/784 quickly i.e. 53352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/686, 24/317, 351/784 is 53352.

LCM(19/686, 24/317, 351/784) = 53352

LCM of 19/686, 24/317, 351/784

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 19/686,24/317,351/784

Given numbers are 19/686,24/317,351/784

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 19,24,351

Least Common Multiple of Numerators i.e. LCM of 19,24,351 is 53352.

GCF of Denominators means GCF of 686,317,784 as per the given fractions.

GCF of 686,317,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,24,351

LCM of Fractions 19/686,24/317,351/784 is 53352

3 19, 24, 351
19, 8, 117

∴ So the LCM of the given numbers is 3 x 19 x 8 x 117 = 53352

Least Common Multiple of 19,24,351 with GCF Formula

Least Common Multiple of 19,24,351 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 19,24,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,24,351) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(19,24,351) x common factors =1 x 3 = 3

LCM(19,24,351) = ( 19 × 24 × 351 ) / 3

LCM(19,24,351) = 160056 / 3

LCM(19,24,351) = 53352


Lets's calculate GCF of 686,317,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53352/1

Therefore the LCM of Fractions 19/686,24/317,351/784 is 53352

Greatest Common Factor of 686,317,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,317,784 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 686,317,784 . The biggest common factor number is the GCF number.
So the greatest common factor 686,317,784 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 19/686, 24/317, 351/784

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 19/686, 24/317, 351/784?

Answer: LCM of Numerators as per given numbers 19/686, 24/317, 351/784 is

LCM of Numerators i.e. for 19,24,351 is 53352

GCF of denominators i.e. for 686,317,784 is 1.

Thus, LCM of Fractions is 53352.Finally, LCM of Fractions for 19/686, 24/317, 351/784 is 53352.