Least Common Multiple of 7648/384, 1402/3857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7648/384, 1402/3857 quickly i.e. 5361248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7648/384, 1402/3857 is 5361248.

LCM(7648/384, 1402/3857) = 5361248

LCM of 7648/384, 1402/3857

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 7648/384,1402/3857

Given numbers are 7648/384,1402/3857

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 7648,1402

Least Common Multiple of Numerators i.e. LCM of 7648,1402 is 5361248.

GCF of Denominators means GCF of 384,3857 as per the given fractions.

GCF of 384,3857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7648,1402

LCM of Fractions 7648/384,1402/3857 is 5361248

2 7648, 1402
3824, 701

∴ So the LCM of the given numbers is 2 x 3824 x 701 = 5361248

Least Common Multiple of 7648,1402 with GCF Formula

Least Common Multiple of 7648,1402 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 7648,1402 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7648,1402) = 2

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

GCF(7648,1402) x common factors =2 x 1 = 2

LCM(7648,1402) = ( 7648 × 1402 ) / 2

LCM(7648,1402) = 10722496 / 2

LCM(7648,1402) = 5361248


Lets's calculate GCF of 384,3857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5361248/1

Therefore the LCM of Fractions 7648/384,1402/3857 is 5361248

Greatest Common Factor of 384,3857 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,3857 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 3857

List of positive integer factors of 3857 that divides 3857 without a remainder.

1,7,19,29,133,203,551,3857

Greatest Common Factor

We found the factors 384,3857 . The biggest common factor number is the GCF number.
So the greatest common factor 384,3857 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 7648/384, 1402/3857

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 7648/384, 1402/3857?

Answer: LCM of Numerators as per given numbers 7648/384, 1402/3857 is

LCM of Numerators i.e. for 7648,1402 is 5361248

GCF of denominators i.e. for 384,3857 is 1.

Thus, LCM of Fractions is 5361248.Finally, LCM of Fractions for 7648/384, 1402/3857 is 5361248.