Least Common Multiple of 19/53, 533/90, 546/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/53, 533/90, 546/612 quickly i.e. 425334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/53, 533/90, 546/612 is 425334.

LCM(19/53, 533/90, 546/612) = 425334

LCM of 19/53, 533/90, 546/612

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 19/53,533/90,546/612

Given numbers are 19/53,533/90,546/612

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 19,533,546

Least Common Multiple of Numerators i.e. LCM of 19,533,546 is 425334.

GCF of Denominators means GCF of 53,90,612 as per the given fractions.

GCF of 53,90,612 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,533,546

LCM of Fractions 19/53,533/90,546/612 is 425334

13 19, 533, 546
19, 41, 42

∴ So the LCM of the given numbers is 13 x 19 x 41 x 42 = 425334

Least Common Multiple of 19,533,546 with GCF Formula

Least Common Multiple of 19,533,546 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 19,533,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,533,546) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(19,533,546) x common factors =1 x 13 = 13

LCM(19,533,546) = ( 19 × 533 × 546 ) / 13

LCM(19,533,546) = 5529342 / 13

LCM(19,533,546) = 425334


Lets's calculate GCF of 53,90,612

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 425334/1

Therefore the LCM of Fractions 19/53,533/90,546/612 is 425334

Greatest Common Factor of 53,90,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,90,612 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 53,90,612 . The biggest common factor number is the GCF number.
So the greatest common factor 53,90,612 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 19/53, 533/90, 546/612

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 19/53, 533/90, 546/612?

Answer: LCM of Numerators as per given numbers 19/53, 533/90, 546/612 is

LCM of Numerators i.e. for 19,533,546 is 425334

GCF of denominators i.e. for 53,90,612 is 1.

Thus, LCM of Fractions is 425334.Finally, LCM of Fractions for 19/53, 533/90, 546/612 is 425334.