Least Common Multiple of 230/643, 565/899, 572/848

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 230/643, 565/899, 572/848 quickly i.e. 7433140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 230/643, 565/899, 572/848 is 7433140.

LCM(230/643, 565/899, 572/848) = 7433140

LCM of 230/643, 565/899, 572/848

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 230/643,565/899,572/848

Given numbers are 230/643,565/899,572/848

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 230,565,572

Least Common Multiple of Numerators i.e. LCM of 230,565,572 is 7433140.

GCF of Denominators means GCF of 643,899,848 as per the given fractions.

GCF of 643,899,848 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 230,565,572

LCM of Fractions 230/643,565/899,572/848 is 7433140

2 230, 565, 572
5 115, 565, 286
23, 113, 286

∴ So the LCM of the given numbers is 2 x 5 x 23 x 113 x 286 = 7433140

Least Common Multiple of 230,565,572 with GCF Formula

Least Common Multiple of 230,565,572 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 230,565,572 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,565,572) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(230,565,572) x common factors =1 x 10 = 10

LCM(230,565,572) = ( 230 × 565 × 572 ) / 10

LCM(230,565,572) = 74331400 / 10

LCM(230,565,572) = 7433140


Lets's calculate GCF of 643,899,848

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7433140/1

Therefore the LCM of Fractions 230/643,565/899,572/848 is 7433140

Greatest Common Factor of 643,899,848 By Matching Biggest Common Factor Method

Greatest Common Factor of 643,899,848 By Matching Biggest Common Factor Method

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 899

List of positive integer factors of 899 that divides 899 without a remainder.

1,29,31,899

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Greatest Common Factor

We found the factors 643,899,848 . The biggest common factor number is the GCF number.
So the greatest common factor 643,899,848 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 230/643, 565/899, 572/848

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 230/643, 565/899, 572/848?

Answer: LCM of Numerators as per given numbers 230/643, 565/899, 572/848 is

LCM of Numerators i.e. for 230,565,572 is 7433140

GCF of denominators i.e. for 643,899,848 is 1.

Thus, LCM of Fractions is 7433140.Finally, LCM of Fractions for 230/643, 565/899, 572/848 is 7433140.