Least Common Multiple of 528/28, 523/4960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/28, 523/4960 quickly i.e. 69036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/28, 523/4960 is 69036.

LCM(528/28, 523/4960) = 69036

LCM of 528/28, 523/4960

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 528/28,523/4960

Given numbers are 528/28,523/4960

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 528,523

Least Common Multiple of Numerators i.e. LCM of 528,523 is 276144.

GCF of Denominators means GCF of 28,4960 as per the given fractions.

GCF of 28,4960 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,523

LCM of Fractions 528/28,523/4960 is 69036

Given numbers has no common factors except 1. So, there LCM is their product i.e 276144

Least Common Multiple of 528,523 with GCF Formula

Least Common Multiple of 528,523 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 528,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,523) = 1

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

GCF(528,523) x common factors =1 x 1 = 1

LCM(528,523) = ( 528 × 523 ) / 1

LCM(528,523) = 276144 / 1

LCM(528,523) = 276144


Lets's calculate GCF of 28,4960

2 28, 4960
2 14, 2480
7, 1240

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 276144/4

Therefore the LCM of Fractions 528/28,523/4960 is 69036

Greatest Common Factor of 28,4960 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,4960 By Matching Biggest Common Factor Method

Factors of 28

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

1,2,4,7,14,28

Factors of 4960

List of positive integer factors of 4960 that divides 4960 without a remainder.

1,2,4,5,8,10,16,20,31,32,40,62,80,124,155,160,248,310,496,620,992,1240,2480,4960

Greatest Common Factor

We found the factors 28,4960 . The biggest common factor number is the GCF number.
So the greatest common factor 28,4960 is 4.


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 528/28, 523/4960

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 528/28, 523/4960?

Answer: LCM of Numerators as per given numbers 528/28, 523/4960 is

LCM of Numerators i.e. for 528,523 is 276144

GCF of denominators i.e. for 28,4960 is 4.

Thus, LCM of Fractions is 69036.Finally, LCM of Fractions for 528/28, 523/4960 is 69036.