Least Common Multiple of 432/19, 6351/919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 432/19, 6351/919 quickly i.e. 914544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 432/19, 6351/919 is 914544.

LCM(432/19, 6351/919) = 914544

LCM of 432/19, 6351/919

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 432/19,6351/919

Given numbers are 432/19,6351/919

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 432,6351

Least Common Multiple of Numerators i.e. LCM of 432,6351 is 914544.

GCF of Denominators means GCF of 19,919 as per the given fractions.

GCF of 19,919 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 432,6351

LCM of Fractions 432/19,6351/919 is 914544

3 432, 6351
144, 2117

∴ So the LCM of the given numbers is 3 x 144 x 2117 = 914544

Least Common Multiple of 432,6351 with GCF Formula

Least Common Multiple of 432,6351 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 432,6351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(432,6351) = 3

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

GCF(432,6351) x common factors =3 x 1 = 3

LCM(432,6351) = ( 432 × 6351 ) / 3

LCM(432,6351) = 2743632 / 3

LCM(432,6351) = 914544


Lets's calculate GCF of 19,919

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 914544/1

Therefore the LCM of Fractions 432/19,6351/919 is 914544

Greatest Common Factor of 19,919 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,919 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 919

List of positive integer factors of 919 that divides 919 without a remainder.

1,919

Greatest Common Factor

We found the factors 19,919 . The biggest common factor number is the GCF number.
So the greatest common factor 19,919 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 432/19, 6351/919

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 432/19, 6351/919?

Answer: LCM of Numerators as per given numbers 432/19, 6351/919 is

LCM of Numerators i.e. for 432,6351 is 914544

GCF of denominators i.e. for 19,919 is 1.

Thus, LCM of Fractions is 914544.Finally, LCM of Fractions for 432/19, 6351/919 is 914544.