Least Common Multiple of 488/38, 448/2918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 488/38, 448/2918 quickly i.e. 13664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/38, 448/2918 is 13664.

LCM(488/38, 448/2918) = 13664

LCM of 488/38, 448/2918

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 488/38,448/2918

Given numbers are 488/38,448/2918

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 488,448

Least Common Multiple of Numerators i.e. LCM of 488,448 is 27328.

GCF of Denominators means GCF of 38,2918 as per the given fractions.

GCF of 38,2918 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,448

LCM of Fractions 488/38,448/2918 is 13664

2 488, 448
2 244, 224
2 122, 112
61, 56

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 56 = 27328

Least Common Multiple of 488,448 with GCF Formula

Least Common Multiple of 488,448 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 488,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,448) = 8

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

GCF(488,448) x common factors =8 x 1 = 8

LCM(488,448) = ( 488 × 448 ) / 8

LCM(488,448) = 218624 / 8

LCM(488,448) = 27328


Lets's calculate GCF of 38,2918

2 38, 2918
19, 1459

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27328/2

Therefore the LCM of Fractions 488/38,448/2918 is 13664

Greatest Common Factor of 38,2918 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,2918 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 2918

List of positive integer factors of 2918 that divides 2918 without a remainder.

1,2,1459,2918

Greatest Common Factor

We found the factors 38,2918 . The biggest common factor number is the GCF number.
So the greatest common factor 38,2918 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 488/38, 448/2918

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 488/38, 448/2918?

Answer: LCM of Numerators as per given numbers 488/38, 448/2918 is

LCM of Numerators i.e. for 488,448 is 27328

GCF of denominators i.e. for 38,2918 is 2.

Thus, LCM of Fractions is 13664.Finally, LCM of Fractions for 488/38, 448/2918 is 13664.