Least Common Multiple of 328/88, 658/58, 514/57

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 328/88, 658/58, 514/57 quickly i.e. 27733384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 328/88, 658/58, 514/57 is 27733384.

LCM(328/88, 658/58, 514/57) = 27733384

LCM of 328/88, 658/58, 514/57

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 328/88,658/58,514/57

Given numbers are 328/88,658/58,514/57

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 328,658,514

Least Common Multiple of Numerators i.e. LCM of 328,658,514 is 27733384.

GCF of Denominators means GCF of 88,58,57 as per the given fractions.

GCF of 88,58,57 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 328,658,514

LCM of Fractions 328/88,658/58,514/57 is 27733384

2 328, 658, 514
164, 329, 257

∴ So the LCM of the given numbers is 2 x 164 x 329 x 257 = 27733384

Least Common Multiple of 328,658,514 with GCF Formula

Least Common Multiple of 328,658,514 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 328,658,514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(328,658,514) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(328,658,514) x common factors =2 x 2 = 4

LCM(328,658,514) = ( 328 × 658 × 514 ) / 4

LCM(328,658,514) = 110933536 / 4

LCM(328,658,514) = 27733384


Lets's calculate GCF of 88,58,57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27733384/1

Therefore the LCM of Fractions 328/88,658/58,514/57 is 27733384

Greatest Common Factor of 88,58,57 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,58,57 By Matching Biggest Common Factor Method

Factors of 88

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

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

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Greatest Common Factor

We found the factors 88,58,57 . The biggest common factor number is the GCF number.
So the greatest common factor 88,58,57 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 328/88, 658/58, 514/57

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 328/88, 658/58, 514/57?

Answer: LCM of Numerators as per given numbers 328/88, 658/58, 514/57 is

LCM of Numerators i.e. for 328,658,514 is 27733384

GCF of denominators i.e. for 88,58,57 is 1.

Thus, LCM of Fractions is 27733384.Finally, LCM of Fractions for 328/88, 658/58, 514/57 is 27733384.