Least Common Multiple of 2712/488, 6332/1000

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2712/488, 6332/1000 quickly i.e. 536637 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2712/488, 6332/1000 is 536637.

LCM(2712/488, 6332/1000) = 536637

LCM of 2712/488, 6332/1000

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 2712/488,6332/1000

Given numbers are 2712/488,6332/1000

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 2712,6332

Least Common Multiple of Numerators i.e. LCM of 2712,6332 is 4293096.

GCF of Denominators means GCF of 488,1000 as per the given fractions.

GCF of 488,1000 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2712,6332

LCM of Fractions 2712/488,6332/1000 is 536637

2 2712, 6332
2 1356, 3166
678, 1583

∴ So the LCM of the given numbers is 2 x 2 x 678 x 1583 = 4293096

Least Common Multiple of 2712,6332 with GCF Formula

Least Common Multiple of 2712,6332 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 2712,6332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2712,6332) = 4

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

GCF(2712,6332) x common factors =4 x 1 = 4

LCM(2712,6332) = ( 2712 × 6332 ) / 4

LCM(2712,6332) = 17172384 / 4

LCM(2712,6332) = 4293096


Lets's calculate GCF of 488,1000

2 488, 1000
2 244, 500
2 122, 250
61, 125

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4293096/8

Therefore the LCM of Fractions 2712/488,6332/1000 is 536637

Greatest Common Factor of 488,1000 By Matching Biggest Common Factor Method

Greatest Common Factor of 488,1000 By Matching Biggest Common Factor Method

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Factors of 1000

List of positive integer factors of 1000 that divides 1000 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000

Greatest Common Factor

We found the factors 488,1000 . The biggest common factor number is the GCF number.
So the greatest common factor 488,1000 is 8.


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 2712/488, 6332/1000

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 2712/488, 6332/1000?

Answer: LCM of Numerators as per given numbers 2712/488, 6332/1000 is

LCM of Numerators i.e. for 2712,6332 is 4293096

GCF of denominators i.e. for 488,1000 is 8.

Thus, LCM of Fractions is 536637.Finally, LCM of Fractions for 2712/488, 6332/1000 is 536637.