Least Common Multiple of 258/570, 790/464, 618/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/570, 790/464, 618/437 quickly i.e. 10496730 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/570, 790/464, 618/437 is 10496730.

LCM(258/570, 790/464, 618/437) = 10496730

LCM of 258/570, 790/464, 618/437

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 258/570,790/464,618/437

Given numbers are 258/570,790/464,618/437

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 258,790,618

Least Common Multiple of Numerators i.e. LCM of 258,790,618 is 10496730.

GCF of Denominators means GCF of 570,464,437 as per the given fractions.

GCF of 570,464,437 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,790,618

LCM of Fractions 258/570,790/464,618/437 is 10496730

2 258, 790, 618
3 129, 395, 309
43, 395, 103

∴ So the LCM of the given numbers is 2 x 3 x 43 x 395 x 103 = 10496730

Least Common Multiple of 258,790,618 with GCF Formula

Least Common Multiple of 258,790,618 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 258,790,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,790,618) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(258,790,618) x common factors =2 x 6 = 12

LCM(258,790,618) = ( 258 × 790 × 618 ) / 12

LCM(258,790,618) = 125960760 / 12

LCM(258,790,618) = 10496730


Lets's calculate GCF of 570,464,437

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10496730/1

Therefore the LCM of Fractions 258/570,790/464,618/437 is 10496730

Greatest Common Factor of 570,464,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,464,437 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 570,464,437 . The biggest common factor number is the GCF number.
So the greatest common factor 570,464,437 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 258/570, 790/464, 618/437

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 258/570, 790/464, 618/437?

Answer: LCM of Numerators as per given numbers 258/570, 790/464, 618/437 is

LCM of Numerators i.e. for 258,790,618 is 10496730

GCF of denominators i.e. for 570,464,437 is 1.

Thus, LCM of Fractions is 10496730.Finally, LCM of Fractions for 258/570, 790/464, 618/437 is 10496730.