Least Common Multiple of 233/61, 508/71, 480/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 233/61, 508/71, 480/460 quickly i.e. 14203680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 233/61, 508/71, 480/460 is 14203680.

LCM(233/61, 508/71, 480/460) = 14203680

LCM of 233/61, 508/71, 480/460

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 233/61,508/71,480/460

Given numbers are 233/61,508/71,480/460

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 233,508,480

Least Common Multiple of Numerators i.e. LCM of 233,508,480 is 14203680.

GCF of Denominators means GCF of 61,71,460 as per the given fractions.

GCF of 61,71,460 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 233,508,480

LCM of Fractions 233/61,508/71,480/460 is 14203680

2 233, 508, 480
2 233, 254, 240
233, 127, 120

∴ So the LCM of the given numbers is 2 x 2 x 233 x 127 x 120 = 14203680

Least Common Multiple of 233,508,480 with GCF Formula

Least Common Multiple of 233,508,480 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 233,508,480 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(233,508,480) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(233,508,480) x common factors =1 x 4 = 4

LCM(233,508,480) = ( 233 × 508 × 480 ) / 4

LCM(233,508,480) = 56814720 / 4

LCM(233,508,480) = 14203680


Lets's calculate GCF of 61,71,460

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14203680/1

Therefore the LCM of Fractions 233/61,508/71,480/460 is 14203680

Greatest Common Factor of 61,71,460 By Matching Biggest Common Factor Method

Greatest Common Factor of 61,71,460 By Matching Biggest Common Factor Method

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Greatest Common Factor

We found the factors 61,71,460 . The biggest common factor number is the GCF number.
So the greatest common factor 61,71,460 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 233/61, 508/71, 480/460

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 233/61, 508/71, 480/460?

Answer: LCM of Numerators as per given numbers 233/61, 508/71, 480/460 is

LCM of Numerators i.e. for 233,508,480 is 14203680

GCF of denominators i.e. for 61,71,460 is 1.

Thus, LCM of Fractions is 14203680.Finally, LCM of Fractions for 233/61, 508/71, 480/460 is 14203680.