Least Common Multiple of 126/19, 291/28, 624/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 126/19, 291/28, 624/432 quickly i.e. 1271088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 126/19, 291/28, 624/432 is 1271088.

LCM(126/19, 291/28, 624/432) = 1271088

LCM of 126/19, 291/28, 624/432

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 126/19,291/28,624/432

Given numbers are 126/19,291/28,624/432

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 126,291,624

Least Common Multiple of Numerators i.e. LCM of 126,291,624 is 1271088.

GCF of Denominators means GCF of 19,28,432 as per the given fractions.

GCF of 19,28,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 126,291,624

LCM of Fractions 126/19,291/28,624/432 is 1271088

2 126, 291, 624
3 63, 291, 312
21, 97, 104

∴ So the LCM of the given numbers is 2 x 3 x 21 x 97 x 104 = 1271088

Least Common Multiple of 126,291,624 with GCF Formula

Least Common Multiple of 126,291,624 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 126,291,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(126,291,624) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(126,291,624) x common factors =3 x 6 = 18

LCM(126,291,624) = ( 126 × 291 × 624 ) / 18

LCM(126,291,624) = 22879584 / 18

LCM(126,291,624) = 1271088


Lets's calculate GCF of 19,28,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1271088/1

Therefore the LCM of Fractions 126/19,291/28,624/432 is 1271088

Greatest Common Factor of 19,28,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,28,432 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 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 19,28,432 . The biggest common factor number is the GCF number.
So the greatest common factor 19,28,432 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 126/19, 291/28, 624/432

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 126/19, 291/28, 624/432?

Answer: LCM of Numerators as per given numbers 126/19, 291/28, 624/432 is

LCM of Numerators i.e. for 126,291,624 is 1271088

GCF of denominators i.e. for 19,28,432 is 1.

Thus, LCM of Fractions is 1271088.Finally, LCM of Fractions for 126/19, 291/28, 624/432 is 1271088.