Least Common Multiple of 459/68, 660/4576

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/68, 660/4576 quickly i.e. 25245 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/68, 660/4576 is 25245.

LCM(459/68, 660/4576) = 25245

LCM of 459/68, 660/4576

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 459/68,660/4576

Given numbers are 459/68,660/4576

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 459,660

Least Common Multiple of Numerators i.e. LCM of 459,660 is 100980.

GCF of Denominators means GCF of 68,4576 as per the given fractions.

GCF of 68,4576 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,660

LCM of Fractions 459/68,660/4576 is 25245

3 459, 660
153, 220

∴ So the LCM of the given numbers is 3 x 153 x 220 = 100980

Least Common Multiple of 459,660 with GCF Formula

Least Common Multiple of 459,660 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 459,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,660) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(459,660) x common factors =3 x 1 = 3

LCM(459,660) = ( 459 × 660 ) / 3

LCM(459,660) = 302940 / 3

LCM(459,660) = 100980


Lets's calculate GCF of 68,4576

2 68, 4576
2 34, 2288
17, 1144

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100980/4

Therefore the LCM of Fractions 459/68,660/4576 is 25245

Greatest Common Factor of 68,4576 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4576 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4576

List of positive integer factors of 4576 that divides 4576 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576

Greatest Common Factor

We found the factors 68,4576 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4576 is 4.


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 459/68, 660/4576

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 459/68, 660/4576?

Answer: LCM of Numerators as per given numbers 459/68, 660/4576 is

LCM of Numerators i.e. for 459,660 is 100980

GCF of denominators i.e. for 68,4576 is 4.

Thus, LCM of Fractions is 25245.Finally, LCM of Fractions for 459/68, 660/4576 is 25245.