Least Common Multiple of 523/624, 8224/520

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/624, 8224/520 quickly i.e. 4301152/104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/624, 8224/520 is 4301152/104.

LCM(523/624, 8224/520) = 4301152/104

LCM of 523/624, 8224/520

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 523/624,8224/520

Given numbers are 523/624,8224/520

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 523,8224

Least Common Multiple of Numerators i.e. LCM of 523,8224 is 4301152.

GCF of Denominators means GCF of 624,520 as per the given fractions.

GCF of 624,520 is 104 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,8224

LCM of Fractions 523/624,8224/520 is 4301152/104

Given numbers has no common factors except 1. So, there LCM is their product i.e 4301152

Least Common Multiple of 523,8224 with GCF Formula

Least Common Multiple of 523,8224 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 523,8224 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,8224) = 1

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

GCF(523,8224) x common factors =1 x 1 = 1

LCM(523,8224) = ( 523 × 8224 ) / 1

LCM(523,8224) = 4301152 / 1

LCM(523,8224) = 4301152


Lets's calculate GCF of 624,520

2 624, 520
2 312, 260
2 156, 130
13 78, 65
6, 5

∴ So the GCF of the given numbers is 2 x 2 x 2 x 13 = 104

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4301152/104

Therefore the LCM of Fractions 523/624,8224/520 is 4301152/104

Greatest Common Factor of 624,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 624,520 By Matching Biggest Common Factor Method

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Factors of 520

List of positive integer factors of 520 that divides 520 without a remainder.

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Greatest Common Factor

We found the factors 624,520 . The biggest common factor number is the GCF number.
So the greatest common factor 624,520 is 104.


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 523/624, 8224/520

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 523/624, 8224/520?

Answer: LCM of Numerators as per given numbers 523/624, 8224/520 is

LCM of Numerators i.e. for 523,8224 is 4301152

GCF of denominators i.e. for 624,520 is 104.

Thus, LCM of Fractions is 4301152/104.Finally, LCM of Fractions for 523/624, 8224/520 is 4301152/104.