Least Common Multiple of 528/16, 864/44, 622/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/16, 864/44, 622/523 quickly i.e. 2955744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/16, 864/44, 622/523 is 2955744.

LCM(528/16, 864/44, 622/523) = 2955744

LCM of 528/16, 864/44, 622/523

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 528/16,864/44,622/523

Given numbers are 528/16,864/44,622/523

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 528,864,622

Least Common Multiple of Numerators i.e. LCM of 528,864,622 is 2955744.

GCF of Denominators means GCF of 16,44,523 as per the given fractions.

GCF of 16,44,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,864,622

LCM of Fractions 528/16,864/44,622/523 is 2955744

2 528, 864, 622
2 264, 432, 311
2 132, 216, 311
2 66, 108, 311
3 33, 54, 311
11, 18, 311

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 11 x 18 x 311 = 2955744

Least Common Multiple of 528,864,622 with GCF Formula

Least Common Multiple of 528,864,622 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 528,864,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,864,622) = 2

common factors(in case of two or more numbers have common factors) = 48

GCF(528,864,622) x common factors =2 x 48 = 96

LCM(528,864,622) = ( 528 × 864 × 622 ) / 96

LCM(528,864,622) = 283751424 / 96

LCM(528,864,622) = 2955744


Lets's calculate GCF of 16,44,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2955744/1

Therefore the LCM of Fractions 528/16,864/44,622/523 is 2955744

Greatest Common Factor of 16,44,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,44,523 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Greatest Common Factor

We found the factors 16,44,523 . The biggest common factor number is the GCF number.
So the greatest common factor 16,44,523 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 528/16, 864/44, 622/523

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 528/16, 864/44, 622/523?

Answer: LCM of Numerators as per given numbers 528/16, 864/44, 622/523 is

LCM of Numerators i.e. for 528,864,622 is 2955744

GCF of denominators i.e. for 16,44,523 is 1.

Thus, LCM of Fractions is 2955744.Finally, LCM of Fractions for 528/16, 864/44, 622/523 is 2955744.