Least Common Multiple of 66/560, 27/688, 431/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/560, 27/688, 431/363 quickly i.e. 256014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/560, 27/688, 431/363 is 256014.

LCM(66/560, 27/688, 431/363) = 256014

LCM of 66/560, 27/688, 431/363

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 66/560,27/688,431/363

Given numbers are 66/560,27/688,431/363

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 66,27,431

Least Common Multiple of Numerators i.e. LCM of 66,27,431 is 256014.

GCF of Denominators means GCF of 560,688,363 as per the given fractions.

GCF of 560,688,363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,27,431

LCM of Fractions 66/560,27/688,431/363 is 256014

3 66, 27, 431
22, 9, 431

∴ So the LCM of the given numbers is 3 x 22 x 9 x 431 = 256014

Least Common Multiple of 66,27,431 with GCF Formula

Least Common Multiple of 66,27,431 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 66,27,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,27,431) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(66,27,431) x common factors =1 x 3 = 3

LCM(66,27,431) = ( 66 × 27 × 431 ) / 3

LCM(66,27,431) = 768042 / 3

LCM(66,27,431) = 256014


Lets's calculate GCF of 560,688,363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 256014/1

Therefore the LCM of Fractions 66/560,27/688,431/363 is 256014

Greatest Common Factor of 560,688,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 560,688,363 By Matching Biggest Common Factor Method

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 688

List of positive integer factors of 688 that divides 688 without a remainder.

1,2,4,8,16,43,86,172,344,688

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 560,688,363 . The biggest common factor number is the GCF number.
So the greatest common factor 560,688,363 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 66/560, 27/688, 431/363

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 66/560, 27/688, 431/363?

Answer: LCM of Numerators as per given numbers 66/560, 27/688, 431/363 is

LCM of Numerators i.e. for 66,27,431 is 256014

GCF of denominators i.e. for 560,688,363 is 1.

Thus, LCM of Fractions is 256014.Finally, LCM of Fractions for 66/560, 27/688, 431/363 is 256014.