Least Common Multiple of 45/512, 459/264, 720/880

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/512, 459/264, 720/880 quickly i.e. 4590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/512, 459/264, 720/880 is 4590.

LCM(45/512, 459/264, 720/880) = 4590

LCM of 45/512, 459/264, 720/880

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 45/512,459/264,720/880

Given numbers are 45/512,459/264,720/880

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 45,459,720

Least Common Multiple of Numerators i.e. LCM of 45,459,720 is 36720.

GCF of Denominators means GCF of 512,264,880 as per the given fractions.

GCF of 512,264,880 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,459,720

LCM of Fractions 45/512,459/264,720/880 is 4590

3 45, 459, 720
3 15, 153, 240
5 5, 51, 80
1, 51, 16

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 51 x 16 = 36720

Least Common Multiple of 45,459,720 with GCF Formula

Least Common Multiple of 45,459,720 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 45,459,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,459,720) = 9

common factors(in case of two or more numbers have common factors) = 45

GCF(45,459,720) x common factors =9 x 45 = 405

LCM(45,459,720) = ( 45 × 459 × 720 ) / 405

LCM(45,459,720) = 14871600 / 405

LCM(45,459,720) = 36720


Lets's calculate GCF of 512,264,880

2 512, 264, 880
2 256, 132, 440
2 128, 66, 220
64, 33, 110

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36720/8

Therefore the LCM of Fractions 45/512,459/264,720/880 is 4590

Greatest Common Factor of 512,264,880 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,264,880 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 880

List of positive integer factors of 880 that divides 880 without a remainder.

1,2,4,5,8,10,11,16,20,22,40,44,55,80,88,110,176,220,440,880

Greatest Common Factor

We found the factors 512,264,880 . The biggest common factor number is the GCF number.
So the greatest common factor 512,264,880 is 8.


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 45/512, 459/264, 720/880

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 45/512, 459/264, 720/880?

Answer: LCM of Numerators as per given numbers 45/512, 459/264, 720/880 is

LCM of Numerators i.e. for 45,459,720 is 36720

GCF of denominators i.e. for 512,264,880 is 8.

Thus, LCM of Fractions is 4590.Finally, LCM of Fractions for 45/512, 459/264, 720/880 is 4590.