Least Common Multiple of 461/698, 6229/3829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 461/698, 6229/3829 quickly i.e. 2871569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 461/698, 6229/3829 is 2871569.

LCM(461/698, 6229/3829) = 2871569

LCM of 461/698, 6229/3829

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 461/698,6229/3829

Given numbers are 461/698,6229/3829

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 461,6229

Least Common Multiple of Numerators i.e. LCM of 461,6229 is 2871569.

GCF of Denominators means GCF of 698,3829 as per the given fractions.

GCF of 698,3829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 461,6229

LCM of Fractions 461/698,6229/3829 is 2871569

Given numbers has no common factors except 1. So, there LCM is their product i.e 2871569

Least Common Multiple of 461,6229 with GCF Formula

Least Common Multiple of 461,6229 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 461,6229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(461,6229) = 1

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

GCF(461,6229) x common factors =1 x 1 = 1

LCM(461,6229) = ( 461 × 6229 ) / 1

LCM(461,6229) = 2871569 / 1

LCM(461,6229) = 2871569


Lets's calculate GCF of 698,3829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2871569/1

Therefore the LCM of Fractions 461/698,6229/3829 is 2871569

Greatest Common Factor of 698,3829 By Matching Biggest Common Factor Method

Greatest Common Factor of 698,3829 By Matching Biggest Common Factor Method

Factors of 698

List of positive integer factors of 698 that divides 698 without a remainder.

1,2,349,698

Factors of 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1,7,547,3829

Greatest Common Factor

We found the factors 698,3829 . The biggest common factor number is the GCF number.
So the greatest common factor 698,3829 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 461/698, 6229/3829

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 461/698, 6229/3829?

Answer: LCM of Numerators as per given numbers 461/698, 6229/3829 is

LCM of Numerators i.e. for 461,6229 is 2871569

GCF of denominators i.e. for 698,3829 is 1.

Thus, LCM of Fractions is 2871569.Finally, LCM of Fractions for 461/698, 6229/3829 is 2871569.