Least Common Multiple of 624/57, 538/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 624/57, 538/522 quickly i.e. 55952 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 624/57, 538/522 is 55952.

LCM(624/57, 538/522) = 55952

LCM of 624/57, 538/522

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 624/57,538/522

Given numbers are 624/57,538/522

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 624,538

Least Common Multiple of Numerators i.e. LCM of 624,538 is 167856.

GCF of Denominators means GCF of 57,522 as per the given fractions.

GCF of 57,522 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 624,538

LCM of Fractions 624/57,538/522 is 55952

2 624, 538
312, 269

∴ So the LCM of the given numbers is 2 x 312 x 269 = 167856

Least Common Multiple of 624,538 with GCF Formula

Least Common Multiple of 624,538 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 624,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,538) = 2

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

GCF(624,538) x common factors =2 x 1 = 2

LCM(624,538) = ( 624 × 538 ) / 2

LCM(624,538) = 335712 / 2

LCM(624,538) = 167856


Lets's calculate GCF of 57,522

3 57, 522
19, 174

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 167856/3

Therefore the LCM of Fractions 624/57,538/522 is 55952

Greatest Common Factor of 57,522 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,522 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 522

List of positive integer factors of 522 that divides 522 without a remainder.

1,2,3,6,9,18,29,58,87,174,261,522

Greatest Common Factor

We found the factors 57,522 . The biggest common factor number is the GCF number.
So the greatest common factor 57,522 is 3.


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 624/57, 538/522

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 624/57, 538/522?

Answer: LCM of Numerators as per given numbers 624/57, 538/522 is

LCM of Numerators i.e. for 624,538 is 167856

GCF of denominators i.e. for 57,522 is 3.

Thus, LCM of Fractions is 55952.Finally, LCM of Fractions for 624/57, 538/522 is 55952.