Least Common Multiple of 48/256, 2097/4972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/256, 2097/4972 quickly i.e. 8388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/256, 2097/4972 is 8388.

LCM(48/256, 2097/4972) = 8388

LCM of 48/256, 2097/4972

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 48/256,2097/4972

Given numbers are 48/256,2097/4972

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 48,2097

Least Common Multiple of Numerators i.e. LCM of 48,2097 is 33552.

GCF of Denominators means GCF of 256,4972 as per the given fractions.

GCF of 256,4972 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,2097

LCM of Fractions 48/256,2097/4972 is 8388

3 48, 2097
16, 699

∴ So the LCM of the given numbers is 3 x 16 x 699 = 33552

Least Common Multiple of 48,2097 with GCF Formula

Least Common Multiple of 48,2097 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 48,2097 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,2097) = 3

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

GCF(48,2097) x common factors =3 x 1 = 3

LCM(48,2097) = ( 48 × 2097 ) / 3

LCM(48,2097) = 100656 / 3

LCM(48,2097) = 33552


Lets's calculate GCF of 256,4972

2 256, 4972
2 128, 2486
64, 1243

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33552/4

Therefore the LCM of Fractions 48/256,2097/4972 is 8388

Greatest Common Factor of 256,4972 By Matching Biggest Common Factor Method

Greatest Common Factor of 256,4972 By Matching Biggest Common Factor Method

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Factors of 4972

List of positive integer factors of 4972 that divides 4972 without a remainder.

1,2,4,11,22,44,113,226,452,1243,2486,4972

Greatest Common Factor

We found the factors 256,4972 . The biggest common factor number is the GCF number.
So the greatest common factor 256,4972 is 4.


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 48/256, 2097/4972

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 48/256, 2097/4972?

Answer: LCM of Numerators as per given numbers 48/256, 2097/4972 is

LCM of Numerators i.e. for 48,2097 is 33552

GCF of denominators i.e. for 256,4972 is 4.

Thus, LCM of Fractions is 8388.Finally, LCM of Fractions for 48/256, 2097/4972 is 8388.