Least Common Multiple of 421/566, 349/414, 249/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 421/566, 349/414, 249/835 quickly i.e. 36585321 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 421/566, 349/414, 249/835 is 36585321.

LCM(421/566, 349/414, 249/835) = 36585321

LCM of 421/566, 349/414, 249/835

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 421/566,349/414,249/835

Given numbers are 421/566,349/414,249/835

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 421,349,249

Least Common Multiple of Numerators i.e. LCM of 421,349,249 is 36585321.

GCF of Denominators means GCF of 566,414,835 as per the given fractions.

GCF of 566,414,835 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 421,349,249

LCM of Fractions 421/566,349/414,249/835 is 36585321

Given numbers has no common factors except 1. So, there LCM is their product i.e 36585321

Least Common Multiple of 421,349,249 with GCF Formula

Least Common Multiple of 421,349,249 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 421,349,249 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,349,249) = 1

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

GCF(421,349,249) x common factors =1 x 1 = 1

LCM(421,349,249) = ( 421 × 349 × 249 ) / 1

LCM(421,349,249) = 36585321 / 1

LCM(421,349,249) = 36585321


Lets's calculate GCF of 566,414,835

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36585321/1

Therefore the LCM of Fractions 421/566,349/414,249/835 is 36585321

Greatest Common Factor of 566,414,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,414,835 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 835

List of positive integer factors of 835 that divides 835 without a remainder.

1,5,167,835

Greatest Common Factor

We found the factors 566,414,835 . The biggest common factor number is the GCF number.
So the greatest common factor 566,414,835 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 421/566, 349/414, 249/835

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 421/566, 349/414, 249/835?

Answer: LCM of Numerators as per given numbers 421/566, 349/414, 249/835 is

LCM of Numerators i.e. for 421,349,249 is 36585321

GCF of denominators i.e. for 566,414,835 is 1.

Thus, LCM of Fractions is 36585321.Finally, LCM of Fractions for 421/566, 349/414, 249/835 is 36585321.