Least Common Multiple of 6482/449, 9156/8728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6482/449, 9156/8728 quickly i.e. 4239228 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6482/449, 9156/8728 is 4239228.

LCM(6482/449, 9156/8728) = 4239228

LCM of 6482/449, 9156/8728

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 6482/449,9156/8728

Given numbers are 6482/449,9156/8728

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 6482,9156

Least Common Multiple of Numerators i.e. LCM of 6482,9156 is 4239228.

GCF of Denominators means GCF of 449,8728 as per the given fractions.

GCF of 449,8728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6482,9156

LCM of Fractions 6482/449,9156/8728 is 4239228

2 6482, 9156
7 3241, 4578
463, 654

∴ So the LCM of the given numbers is 2 x 7 x 463 x 654 = 4239228

Least Common Multiple of 6482,9156 with GCF Formula

Least Common Multiple of 6482,9156 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 6482,9156 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6482,9156) = 14

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

GCF(6482,9156) x common factors =14 x 1 = 14

LCM(6482,9156) = ( 6482 × 9156 ) / 14

LCM(6482,9156) = 59349192 / 14

LCM(6482,9156) = 4239228


Lets's calculate GCF of 449,8728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4239228/1

Therefore the LCM of Fractions 6482/449,9156/8728 is 4239228

Greatest Common Factor of 449,8728 By Matching Biggest Common Factor Method

Greatest Common Factor of 449,8728 By Matching Biggest Common Factor Method

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Factors of 8728

List of positive integer factors of 8728 that divides 8728 without a remainder.

1,2,4,8,1091,2182,4364,8728

Greatest Common Factor

We found the factors 449,8728 . The biggest common factor number is the GCF number.
So the greatest common factor 449,8728 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6482/449, 9156/8728

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 6482/449, 9156/8728?

Answer: LCM of Numerators as per given numbers 6482/449, 9156/8728 is

LCM of Numerators i.e. for 6482,9156 is 4239228

GCF of denominators i.e. for 449,8728 is 1.

Thus, LCM of Fractions is 4239228.Finally, LCM of Fractions for 6482/449, 9156/8728 is 4239228.