Least Common Multiple of 570/65, 678/32, 521/88

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 570/65, 678/32, 521/88 quickly i.e. 33557610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 570/65, 678/32, 521/88 is 33557610.

LCM(570/65, 678/32, 521/88) = 33557610

LCM of 570/65, 678/32, 521/88

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 570/65,678/32,521/88

Given numbers are 570/65,678/32,521/88

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 570,678,521

Least Common Multiple of Numerators i.e. LCM of 570,678,521 is 33557610.

GCF of Denominators means GCF of 65,32,88 as per the given fractions.

GCF of 65,32,88 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 570,678,521

LCM of Fractions 570/65,678/32,521/88 is 33557610

2 570, 678, 521
3 285, 339, 521
95, 113, 521

∴ So the LCM of the given numbers is 2 x 3 x 95 x 113 x 521 = 33557610

Least Common Multiple of 570,678,521 with GCF Formula

Least Common Multiple of 570,678,521 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 570,678,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(570,678,521) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(570,678,521) x common factors =1 x 6 = 6

LCM(570,678,521) = ( 570 × 678 × 521 ) / 6

LCM(570,678,521) = 201345660 / 6

LCM(570,678,521) = 33557610


Lets's calculate GCF of 65,32,88

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33557610/1

Therefore the LCM of Fractions 570/65,678/32,521/88 is 33557610

Greatest Common Factor of 65,32,88 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,32,88 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Greatest Common Factor

We found the factors 65,32,88 . The biggest common factor number is the GCF number.
So the greatest common factor 65,32,88 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 570/65, 678/32, 521/88

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 570/65, 678/32, 521/88?

Answer: LCM of Numerators as per given numbers 570/65, 678/32, 521/88 is

LCM of Numerators i.e. for 570,678,521 is 33557610

GCF of denominators i.e. for 65,32,88 is 1.

Thus, LCM of Fractions is 33557610.Finally, LCM of Fractions for 570/65, 678/32, 521/88 is 33557610.