Least Common Multiple of 4416/454, 8523/6710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4416/454, 8523/6710 quickly i.e. 6272928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4416/454, 8523/6710 is 6272928.

LCM(4416/454, 8523/6710) = 6272928

LCM of 4416/454, 8523/6710

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 4416/454,8523/6710

Given numbers are 4416/454,8523/6710

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 4416,8523

Least Common Multiple of Numerators i.e. LCM of 4416,8523 is 12545856.

GCF of Denominators means GCF of 454,6710 as per the given fractions.

GCF of 454,6710 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4416,8523

LCM of Fractions 4416/454,8523/6710 is 6272928

3 4416, 8523
1472, 2841

∴ So the LCM of the given numbers is 3 x 1472 x 2841 = 12545856

Least Common Multiple of 4416,8523 with GCF Formula

Least Common Multiple of 4416,8523 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 4416,8523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4416,8523) = 3

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

GCF(4416,8523) x common factors =3 x 1 = 3

LCM(4416,8523) = ( 4416 × 8523 ) / 3

LCM(4416,8523) = 37637568 / 3

LCM(4416,8523) = 12545856


Lets's calculate GCF of 454,6710

2 454, 6710
227, 3355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12545856/2

Therefore the LCM of Fractions 4416/454,8523/6710 is 6272928

Greatest Common Factor of 454,6710 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,6710 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 6710

List of positive integer factors of 6710 that divides 6710 without a remainder.

1,2,5,10,11,22,55,61,110,122,305,610,671,1342,3355,6710

Greatest Common Factor

We found the factors 454,6710 . The biggest common factor number is the GCF number.
So the greatest common factor 454,6710 is 2.


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 4416/454, 8523/6710

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 4416/454, 8523/6710?

Answer: LCM of Numerators as per given numbers 4416/454, 8523/6710 is

LCM of Numerators i.e. for 4416,8523 is 12545856

GCF of denominators i.e. for 454,6710 is 2.

Thus, LCM of Fractions is 6272928.Finally, LCM of Fractions for 4416/454, 8523/6710 is 6272928.