Least Common Multiple of 528/44, 388/82, 724/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/44, 388/82, 724/964 quickly i.e. 4635048 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/44, 388/82, 724/964 is 4635048.

LCM(528/44, 388/82, 724/964) = 4635048

LCM of 528/44, 388/82, 724/964

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 528/44,388/82,724/964

Given numbers are 528/44,388/82,724/964

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 528,388,724

Least Common Multiple of Numerators i.e. LCM of 528,388,724 is 9270096.

GCF of Denominators means GCF of 44,82,964 as per the given fractions.

GCF of 44,82,964 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,388,724

LCM of Fractions 528/44,388/82,724/964 is 4635048

2 528, 388, 724
2 264, 194, 362
132, 97, 181

∴ So the LCM of the given numbers is 2 x 2 x 132 x 97 x 181 = 9270096

Least Common Multiple of 528,388,724 with GCF Formula

Least Common Multiple of 528,388,724 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 528,388,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,388,724) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(528,388,724) x common factors =4 x 4 = 16

LCM(528,388,724) = ( 528 × 388 × 724 ) / 16

LCM(528,388,724) = 148321536 / 16

LCM(528,388,724) = 9270096


Lets's calculate GCF of 44,82,964

2 44, 82, 964
22, 41, 482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9270096/2

Therefore the LCM of Fractions 528/44,388/82,724/964 is 4635048

Greatest Common Factor of 44,82,964 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,82,964 By Matching Biggest Common Factor Method

Factors of 44

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

1,2,4,11,22,44

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Greatest Common Factor

We found the factors 44,82,964 . The biggest common factor number is the GCF number.
So the greatest common factor 44,82,964 is 2.


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 528/44, 388/82, 724/964

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 528/44, 388/82, 724/964?

Answer: LCM of Numerators as per given numbers 528/44, 388/82, 724/964 is

LCM of Numerators i.e. for 528,388,724 is 9270096

GCF of denominators i.e. for 44,82,964 is 2.

Thus, LCM of Fractions is 4635048.Finally, LCM of Fractions for 528/44, 388/82, 724/964 is 4635048.