Least Common Multiple of 58/418, 585/546, 864/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/418, 585/546, 864/960 quickly i.e. 814320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/418, 585/546, 864/960 is 814320.

LCM(58/418, 585/546, 864/960) = 814320

LCM of 58/418, 585/546, 864/960

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 58/418,585/546,864/960

Given numbers are 58/418,585/546,864/960

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 58,585,864

Least Common Multiple of Numerators i.e. LCM of 58,585,864 is 1628640.

GCF of Denominators means GCF of 418,546,960 as per the given fractions.

GCF of 418,546,960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,585,864

LCM of Fractions 58/418,585/546,864/960 is 814320

2 58, 585, 864
3 29, 585, 432
3 29, 195, 144
29, 65, 48

∴ So the LCM of the given numbers is 2 x 3 x 3 x 29 x 65 x 48 = 1628640

Least Common Multiple of 58,585,864 with GCF Formula

Least Common Multiple of 58,585,864 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 58,585,864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,585,864) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(58,585,864) x common factors =1 x 18 = 18

LCM(58,585,864) = ( 58 × 585 × 864 ) / 18

LCM(58,585,864) = 29315520 / 18

LCM(58,585,864) = 1628640


Lets's calculate GCF of 418,546,960

2 418, 546, 960
209, 273, 480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1628640/2

Therefore the LCM of Fractions 58/418,585/546,864/960 is 814320

Greatest Common Factor of 418,546,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,546,960 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 418,546,960 . The biggest common factor number is the GCF number.
So the greatest common factor 418,546,960 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 58/418, 585/546, 864/960

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 58/418, 585/546, 864/960?

Answer: LCM of Numerators as per given numbers 58/418, 585/546, 864/960 is

LCM of Numerators i.e. for 58,585,864 is 1628640

GCF of denominators i.e. for 418,546,960 is 2.

Thus, LCM of Fractions is 814320.Finally, LCM of Fractions for 58/418, 585/546, 864/960 is 814320.