Least Common Multiple of 299/41, 416/3577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 299/41, 416/3577 quickly i.e. 9568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 299/41, 416/3577 is 9568.

LCM(299/41, 416/3577) = 9568

LCM of 299/41, 416/3577

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 299/41,416/3577

Given numbers are 299/41,416/3577

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 299,416

Least Common Multiple of Numerators i.e. LCM of 299,416 is 9568.

GCF of Denominators means GCF of 41,3577 as per the given fractions.

GCF of 41,3577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 299,416

LCM of Fractions 299/41,416/3577 is 9568

13 299, 416
23, 32

∴ So the LCM of the given numbers is 13 x 23 x 32 = 9568

Least Common Multiple of 299,416 with GCF Formula

Least Common Multiple of 299,416 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 299,416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(299,416) = 13

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

GCF(299,416) x common factors =13 x 1 = 13

LCM(299,416) = ( 299 × 416 ) / 13

LCM(299,416) = 124384 / 13

LCM(299,416) = 9568


Lets's calculate GCF of 41,3577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9568/1

Therefore the LCM of Fractions 299/41,416/3577 is 9568

Greatest Common Factor of 41,3577 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,3577 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 3577

List of positive integer factors of 3577 that divides 3577 without a remainder.

1,7,49,73,511,3577

Greatest Common Factor

We found the factors 41,3577 . The biggest common factor number is the GCF number.
So the greatest common factor 41,3577 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 299/41, 416/3577

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 299/41, 416/3577?

Answer: LCM of Numerators as per given numbers 299/41, 416/3577 is

LCM of Numerators i.e. for 299,416 is 9568

GCF of denominators i.e. for 41,3577 is 1.

Thus, LCM of Fractions is 9568.Finally, LCM of Fractions for 299/41, 416/3577 is 9568.