Least Common Multiple of 458/75, 516/86, 379/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 458/75, 516/86, 379/457 quickly i.e. 44784156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 458/75, 516/86, 379/457 is 44784156.

LCM(458/75, 516/86, 379/457) = 44784156

LCM of 458/75, 516/86, 379/457

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 458/75,516/86,379/457

Given numbers are 458/75,516/86,379/457

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 458,516,379

Least Common Multiple of Numerators i.e. LCM of 458,516,379 is 44784156.

GCF of Denominators means GCF of 75,86,457 as per the given fractions.

GCF of 75,86,457 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 458,516,379

LCM of Fractions 458/75,516/86,379/457 is 44784156

2 458, 516, 379
229, 258, 379

∴ So the LCM of the given numbers is 2 x 229 x 258 x 379 = 44784156

Least Common Multiple of 458,516,379 with GCF Formula

Least Common Multiple of 458,516,379 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 458,516,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(458,516,379) = 1

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

GCF(458,516,379) x common factors =1 x 2 = 2

LCM(458,516,379) = ( 458 × 516 × 379 ) / 2

LCM(458,516,379) = 89568312 / 2

LCM(458,516,379) = 44784156


Lets's calculate GCF of 75,86,457

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44784156/1

Therefore the LCM of Fractions 458/75,516/86,379/457 is 44784156

Greatest Common Factor of 75,86,457 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,86,457 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Greatest Common Factor

We found the factors 75,86,457 . The biggest common factor number is the GCF number.
So the greatest common factor 75,86,457 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 458/75, 516/86, 379/457

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 458/75, 516/86, 379/457?

Answer: LCM of Numerators as per given numbers 458/75, 516/86, 379/457 is

LCM of Numerators i.e. for 458,516,379 is 44784156

GCF of denominators i.e. for 75,86,457 is 1.

Thus, LCM of Fractions is 44784156.Finally, LCM of Fractions for 458/75, 516/86, 379/457 is 44784156.