Least Common Multiple of 838/384, 802/128

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/384, 802/128 quickly i.e. 336038/128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/384, 802/128 is 336038/128.

LCM(838/384, 802/128) = 336038/128

LCM of 838/384, 802/128

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 838/384,802/128

Given numbers are 838/384,802/128

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 838,802

Least Common Multiple of Numerators i.e. LCM of 838,802 is 336038.

GCF of Denominators means GCF of 384,128 as per the given fractions.

GCF of 384,128 is 128 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,802

LCM of Fractions 838/384,802/128 is 336038/128

2 838, 802
419, 401

∴ So the LCM of the given numbers is 2 x 419 x 401 = 336038

Least Common Multiple of 838,802 with GCF Formula

Least Common Multiple of 838,802 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 838,802 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,802) = 2

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

GCF(838,802) x common factors =2 x 1 = 2

LCM(838,802) = ( 838 × 802 ) / 2

LCM(838,802) = 672076 / 2

LCM(838,802) = 336038


Lets's calculate GCF of 384,128

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

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 336038/128

Therefore the LCM of Fractions 838/384,802/128 is 336038/128

Greatest Common Factor of 384,128 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,128 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 128

List of positive integer factors of 128 that divides 128 without a remainder.

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

Greatest Common Factor

We found the factors 384,128 . The biggest common factor number is the GCF number.
So the greatest common factor 384,128 is 128.


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 838/384, 802/128

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 838/384, 802/128?

Answer: LCM of Numerators as per given numbers 838/384, 802/128 is

LCM of Numerators i.e. for 838,802 is 336038

GCF of denominators i.e. for 384,128 is 128.

Thus, LCM of Fractions is 336038/128.Finally, LCM of Fractions for 838/384, 802/128 is 336038/128.