Least Common Multiple of 2688/848, 9968/263

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2688/848, 9968/263 quickly i.e. 239232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2688/848, 9968/263 is 239232.

LCM(2688/848, 9968/263) = 239232

LCM of 2688/848, 9968/263

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 2688/848,9968/263

Given numbers are 2688/848,9968/263

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 2688,9968

Least Common Multiple of Numerators i.e. LCM of 2688,9968 is 239232.

GCF of Denominators means GCF of 848,263 as per the given fractions.

GCF of 848,263 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2688,9968

LCM of Fractions 2688/848,9968/263 is 239232

2 2688, 9968
2 1344, 4984
2 672, 2492
2 336, 1246
7 168, 623
24, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 7 x 24 x 89 = 239232

Least Common Multiple of 2688,9968 with GCF Formula

Least Common Multiple of 2688,9968 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 2688,9968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2688,9968) = 112

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

GCF(2688,9968) x common factors =112 x 1 = 112

LCM(2688,9968) = ( 2688 × 9968 ) / 112

LCM(2688,9968) = 26793984 / 112

LCM(2688,9968) = 239232


Lets's calculate GCF of 848,263

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239232/1

Therefore the LCM of Fractions 2688/848,9968/263 is 239232

Greatest Common Factor of 848,263 By Matching Biggest Common Factor Method

Greatest Common Factor of 848,263 By Matching Biggest Common Factor Method

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

Factors of 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Greatest Common Factor

We found the factors 848,263 . The biggest common factor number is the GCF number.
So the greatest common factor 848,263 is 1.


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 2688/848, 9968/263

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 2688/848, 9968/263?

Answer: LCM of Numerators as per given numbers 2688/848, 9968/263 is

LCM of Numerators i.e. for 2688,9968 is 239232

GCF of denominators i.e. for 848,263 is 1.

Thus, LCM of Fractions is 239232.Finally, LCM of Fractions for 2688/848, 9968/263 is 239232.