Least Common Multiple of 838/68, 3423/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/68, 3423/285 quickly i.e. 2868474 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/68, 3423/285 is 2868474.

LCM(838/68, 3423/285) = 2868474

LCM of 838/68, 3423/285

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 838/68,3423/285

Given numbers are 838/68,3423/285

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 838,3423

Least Common Multiple of Numerators i.e. LCM of 838,3423 is 2868474.

GCF of Denominators means GCF of 68,285 as per the given fractions.

GCF of 68,285 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,3423

LCM of Fractions 838/68,3423/285 is 2868474

Given numbers has no common factors except 1. So, there LCM is their product i.e 2868474

Least Common Multiple of 838,3423 with GCF Formula

Least Common Multiple of 838,3423 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 838,3423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,3423) = 1

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

GCF(838,3423) x common factors =1 x 1 = 1

LCM(838,3423) = ( 838 × 3423 ) / 1

LCM(838,3423) = 2868474 / 1

LCM(838,3423) = 2868474


Lets's calculate GCF of 68,285

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2868474/1

Therefore the LCM of Fractions 838/68,3423/285 is 2868474

Greatest Common Factor of 68,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,285 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 68,285 . The biggest common factor number is the GCF number.
So the greatest common factor 68,285 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 838/68, 3423/285

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 838/68, 3423/285?

Answer: LCM of Numerators as per given numbers 838/68, 3423/285 is

LCM of Numerators i.e. for 838,3423 is 2868474

GCF of denominators i.e. for 68,285 is 1.

Thus, LCM of Fractions is 2868474.Finally, LCM of Fractions for 838/68, 3423/285 is 2868474.