Least Common Multiple of 488/796, 5512/1563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 488/796, 5512/1563 quickly i.e. 336232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 488/796, 5512/1563 is 336232.

LCM(488/796, 5512/1563) = 336232

LCM of 488/796, 5512/1563

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 488/796,5512/1563

Given numbers are 488/796,5512/1563

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 488,5512

Least Common Multiple of Numerators i.e. LCM of 488,5512 is 336232.

GCF of Denominators means GCF of 796,1563 as per the given fractions.

GCF of 796,1563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 488,5512

LCM of Fractions 488/796,5512/1563 is 336232

2 488, 5512
2 244, 2756
2 122, 1378
61, 689

∴ So the LCM of the given numbers is 2 x 2 x 2 x 61 x 689 = 336232

Least Common Multiple of 488,5512 with GCF Formula

Least Common Multiple of 488,5512 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 488,5512 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,5512) = 8

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

GCF(488,5512) x common factors =8 x 1 = 8

LCM(488,5512) = ( 488 × 5512 ) / 8

LCM(488,5512) = 2689856 / 8

LCM(488,5512) = 336232


Lets's calculate GCF of 796,1563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336232/1

Therefore the LCM of Fractions 488/796,5512/1563 is 336232

Greatest Common Factor of 796,1563 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,1563 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 1563

List of positive integer factors of 1563 that divides 1563 without a remainder.

1,3,521,1563

Greatest Common Factor

We found the factors 796,1563 . The biggest common factor number is the GCF number.
So the greatest common factor 796,1563 is 1.


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Frequently Asked Questions on Fractional LCM of 488/796, 5512/1563

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 488/796, 5512/1563?

Answer: LCM of Numerators as per given numbers 488/796, 5512/1563 is

LCM of Numerators i.e. for 488,5512 is 336232

GCF of denominators i.e. for 796,1563 is 1.

Thus, LCM of Fractions is 336232.Finally, LCM of Fractions for 488/796, 5512/1563 is 336232.