Least Common Multiple of 495/58, 521/46, 759/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 495/58, 521/46, 759/458 quickly i.e. 5931585/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 495/58, 521/46, 759/458 is 5931585/2.

LCM(495/58, 521/46, 759/458) = 5931585/2

LCM of 495/58, 521/46, 759/458

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 495/58,521/46,759/458

Given numbers are 495/58,521/46,759/458

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 495,521,759

Least Common Multiple of Numerators i.e. LCM of 495,521,759 is 5931585.

GCF of Denominators means GCF of 58,46,458 as per the given fractions.

GCF of 58,46,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 495,521,759

LCM of Fractions 495/58,521/46,759/458 is 5931585/2

3 495, 521, 759
11 165, 521, 253
15, 521, 23

∴ So the LCM of the given numbers is 3 x 11 x 15 x 521 x 23 = 5931585

Least Common Multiple of 495,521,759 with GCF Formula

Least Common Multiple of 495,521,759 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 495,521,759 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,521,759) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(495,521,759) x common factors =1 x 33 = 33

LCM(495,521,759) = ( 495 × 521 × 759 ) / 33

LCM(495,521,759) = 195742305 / 33

LCM(495,521,759) = 5931585


Lets's calculate GCF of 58,46,458

2 58, 46, 458
29, 23, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5931585/2

Therefore the LCM of Fractions 495/58,521/46,759/458 is 5931585/2

Greatest Common Factor of 58,46,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,46,458 By Matching Biggest Common Factor Method

Factors of 58

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

1,2,29,58

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 58,46,458 . The biggest common factor number is the GCF number.
So the greatest common factor 58,46,458 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 495/58, 521/46, 759/458

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 495/58, 521/46, 759/458?

Answer: LCM of Numerators as per given numbers 495/58, 521/46, 759/458 is

LCM of Numerators i.e. for 495,521,759 is 5931585

GCF of denominators i.e. for 58,46,458 is 2.

Thus, LCM of Fractions is 5931585/2.Finally, LCM of Fractions for 495/58, 521/46, 759/458 is 5931585/2.