Least Common Multiple of 58/325, 64/413, 494/312

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/325, 64/413, 494/312 quickly i.e. 458432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/325, 64/413, 494/312 is 458432.

LCM(58/325, 64/413, 494/312) = 458432

LCM of 58/325, 64/413, 494/312

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 58/325,64/413,494/312

Given numbers are 58/325,64/413,494/312

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 58,64,494

Least Common Multiple of Numerators i.e. LCM of 58,64,494 is 458432.

GCF of Denominators means GCF of 325,413,312 as per the given fractions.

GCF of 325,413,312 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,64,494

LCM of Fractions 58/325,64/413,494/312 is 458432

2 58, 64, 494
29, 32, 247

∴ So the LCM of the given numbers is 2 x 29 x 32 x 247 = 458432

Least Common Multiple of 58,64,494 with GCF Formula

Least Common Multiple of 58,64,494 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 58,64,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,64,494) = 2

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

GCF(58,64,494) x common factors =2 x 2 = 4

LCM(58,64,494) = ( 58 × 64 × 494 ) / 4

LCM(58,64,494) = 1833728 / 4

LCM(58,64,494) = 458432


Lets's calculate GCF of 325,413,312

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 458432/1

Therefore the LCM of Fractions 58/325,64/413,494/312 is 458432

Greatest Common Factor of 325,413,312 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,413,312 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Greatest Common Factor

We found the factors 325,413,312 . The biggest common factor number is the GCF number.
So the greatest common factor 325,413,312 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 58/325, 64/413, 494/312

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 58/325, 64/413, 494/312?

Answer: LCM of Numerators as per given numbers 58/325, 64/413, 494/312 is

LCM of Numerators i.e. for 58,64,494 is 458432

GCF of denominators i.e. for 325,413,312 is 1.

Thus, LCM of Fractions is 458432.Finally, LCM of Fractions for 58/325, 64/413, 494/312 is 458432.