Least Common Multiple of 624/10, 546/29, 533/404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/10, 546/29, 533/404 quickly i.e. 179088 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/10, 546/29, 533/404 is 179088.

LCM(624/10, 546/29, 533/404) = 179088

LCM of 624/10, 546/29, 533/404

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 624/10,546/29,533/404

Given numbers are 624/10,546/29,533/404

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 624,546,533

Least Common Multiple of Numerators i.e. LCM of 624,546,533 is 179088.

GCF of Denominators means GCF of 10,29,404 as per the given fractions.

GCF of 10,29,404 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,546,533

LCM of Fractions 624/10,546/29,533/404 is 179088

2 624, 546, 533
3 312, 273, 533
13 104, 91, 533
8, 7, 41

∴ So the LCM of the given numbers is 2 x 3 x 13 x 8 x 7 x 41 = 179088

Least Common Multiple of 624,546,533 with GCF Formula

Least Common Multiple of 624,546,533 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 624,546,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,546,533) = 13

common factors(in case of two or more numbers have common factors) = 78

GCF(624,546,533) x common factors =13 x 78 = 1014

LCM(624,546,533) = ( 624 × 546 × 533 ) / 1014

LCM(624,546,533) = 181595232 / 1014

LCM(624,546,533) = 179088


Lets's calculate GCF of 10,29,404

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179088/1

Therefore the LCM of Fractions 624/10,546/29,533/404 is 179088

Greatest Common Factor of 10,29,404 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,29,404 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Greatest Common Factor

We found the factors 10,29,404 . The biggest common factor number is the GCF number.
So the greatest common factor 10,29,404 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 624/10, 546/29, 533/404

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 624/10, 546/29, 533/404?

Answer: LCM of Numerators as per given numbers 624/10, 546/29, 533/404 is

LCM of Numerators i.e. for 624,546,533 is 179088

GCF of denominators i.e. for 10,29,404 is 1.

Thus, LCM of Fractions is 179088.Finally, LCM of Fractions for 624/10, 546/29, 533/404 is 179088.