Least Common Multiple of 522/356, 288/818, 787/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 522/356, 288/818, 787/872 quickly i.e. 3286512 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 522/356, 288/818, 787/872 is 3286512.

LCM(522/356, 288/818, 787/872) = 3286512

LCM of 522/356, 288/818, 787/872

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 522/356,288/818,787/872

Given numbers are 522/356,288/818,787/872

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 522,288,787

Least Common Multiple of Numerators i.e. LCM of 522,288,787 is 6573024.

GCF of Denominators means GCF of 356,818,872 as per the given fractions.

GCF of 356,818,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 522,288,787

LCM of Fractions 522/356,288/818,787/872 is 3286512

2 522, 288, 787
3 261, 144, 787
3 87, 48, 787
29, 16, 787

∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 16 x 787 = 6573024

Least Common Multiple of 522,288,787 with GCF Formula

Least Common Multiple of 522,288,787 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 522,288,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(522,288,787) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(522,288,787) x common factors =1 x 18 = 18

LCM(522,288,787) = ( 522 × 288 × 787 ) / 18

LCM(522,288,787) = 118314432 / 18

LCM(522,288,787) = 6573024


Lets's calculate GCF of 356,818,872

2 356, 818, 872
178, 409, 436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6573024/2

Therefore the LCM of Fractions 522/356,288/818,787/872 is 3286512

Greatest Common Factor of 356,818,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,818,872 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 818

List of positive integer factors of 818 that divides 818 without a remainder.

1,2,409,818

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 356,818,872 . The biggest common factor number is the GCF number.
So the greatest common factor 356,818,872 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 522/356, 288/818, 787/872

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 522/356, 288/818, 787/872?

Answer: LCM of Numerators as per given numbers 522/356, 288/818, 787/872 is

LCM of Numerators i.e. for 522,288,787 is 6573024

GCF of denominators i.e. for 356,818,872 is 2.

Thus, LCM of Fractions is 3286512.Finally, LCM of Fractions for 522/356, 288/818, 787/872 is 3286512.