Least Common Multiple of 663/167, 136/299, 590/564

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 663/167, 136/299, 590/564 quickly i.e. 1564680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 663/167, 136/299, 590/564 is 1564680.

LCM(663/167, 136/299, 590/564) = 1564680

LCM of 663/167, 136/299, 590/564

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 663/167,136/299,590/564

Given numbers are 663/167,136/299,590/564

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 663,136,590

Least Common Multiple of Numerators i.e. LCM of 663,136,590 is 1564680.

GCF of Denominators means GCF of 167,299,564 as per the given fractions.

GCF of 167,299,564 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 663,136,590

LCM of Fractions 663/167,136/299,590/564 is 1564680

2 663, 136, 590
17 663, 68, 295
39, 4, 295

∴ So the LCM of the given numbers is 2 x 17 x 39 x 4 x 295 = 1564680

Least Common Multiple of 663,136,590 with GCF Formula

Least Common Multiple of 663,136,590 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 663,136,590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(663,136,590) = 1

common factors(in case of two or more numbers have common factors) = 34

GCF(663,136,590) x common factors =1 x 34 = 34

LCM(663,136,590) = ( 663 × 136 × 590 ) / 34

LCM(663,136,590) = 53199120 / 34

LCM(663,136,590) = 1564680


Lets's calculate GCF of 167,299,564

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1564680/1

Therefore the LCM of Fractions 663/167,136/299,590/564 is 1564680

Greatest Common Factor of 167,299,564 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,299,564 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Greatest Common Factor

We found the factors 167,299,564 . The biggest common factor number is the GCF number.
So the greatest common factor 167,299,564 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 663/167, 136/299, 590/564

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 663/167, 136/299, 590/564?

Answer: LCM of Numerators as per given numbers 663/167, 136/299, 590/564 is

LCM of Numerators i.e. for 663,136,590 is 1564680

GCF of denominators i.e. for 167,299,564 is 1.

Thus, LCM of Fractions is 1564680.Finally, LCM of Fractions for 663/167, 136/299, 590/564 is 1564680.