Least Common Multiple of 4403/456, 6048/2892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4403/456, 6048/2892 quickly i.e. 317016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4403/456, 6048/2892 is 317016.

LCM(4403/456, 6048/2892) = 317016

LCM of 4403/456, 6048/2892

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 4403/456,6048/2892

Given numbers are 4403/456,6048/2892

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 4403,6048

Least Common Multiple of Numerators i.e. LCM of 4403,6048 is 3804192.

GCF of Denominators means GCF of 456,2892 as per the given fractions.

GCF of 456,2892 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4403,6048

LCM of Fractions 4403/456,6048/2892 is 317016

7 4403, 6048
629, 864

∴ So the LCM of the given numbers is 7 x 629 x 864 = 3804192

Least Common Multiple of 4403,6048 with GCF Formula

Least Common Multiple of 4403,6048 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 4403,6048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4403,6048) = 7

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

GCF(4403,6048) x common factors =7 x 1 = 7

LCM(4403,6048) = ( 4403 × 6048 ) / 7

LCM(4403,6048) = 26629344 / 7

LCM(4403,6048) = 3804192


Lets's calculate GCF of 456,2892

2 456, 2892
2 228, 1446
3 114, 723
38, 241

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3804192/12

Therefore the LCM of Fractions 4403/456,6048/2892 is 317016

Greatest Common Factor of 456,2892 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,2892 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 2892

List of positive integer factors of 2892 that divides 2892 without a remainder.

1,2,3,4,6,12,241,482,723,964,1446,2892

Greatest Common Factor

We found the factors 456,2892 . The biggest common factor number is the GCF number.
So the greatest common factor 456,2892 is 12.


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 4403/456, 6048/2892

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 4403/456, 6048/2892?

Answer: LCM of Numerators as per given numbers 4403/456, 6048/2892 is

LCM of Numerators i.e. for 4403,6048 is 3804192

GCF of denominators i.e. for 456,2892 is 12.

Thus, LCM of Fractions is 317016.Finally, LCM of Fractions for 4403/456, 6048/2892 is 317016.