Least Common Multiple of 413/839, 3753/3309

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 413/839, 3753/3309 quickly i.e. 1549989 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 413/839, 3753/3309 is 1549989.

LCM(413/839, 3753/3309) = 1549989

LCM of 413/839, 3753/3309

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 413/839,3753/3309

Given numbers are 413/839,3753/3309

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 413,3753

Least Common Multiple of Numerators i.e. LCM of 413,3753 is 1549989.

GCF of Denominators means GCF of 839,3309 as per the given fractions.

GCF of 839,3309 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 413,3753

LCM of Fractions 413/839,3753/3309 is 1549989

Given numbers has no common factors except 1. So, there LCM is their product i.e 1549989

Least Common Multiple of 413,3753 with GCF Formula

Least Common Multiple of 413,3753 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 413,3753 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,3753) = 1

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

GCF(413,3753) x common factors =1 x 1 = 1

LCM(413,3753) = ( 413 × 3753 ) / 1

LCM(413,3753) = 1549989 / 1

LCM(413,3753) = 1549989


Lets's calculate GCF of 839,3309

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1549989/1

Therefore the LCM of Fractions 413/839,3753/3309 is 1549989

Greatest Common Factor of 839,3309 By Matching Biggest Common Factor Method

Greatest Common Factor of 839,3309 By Matching Biggest Common Factor Method

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Factors of 3309

List of positive integer factors of 3309 that divides 3309 without a remainder.

1,3,1103,3309

Greatest Common Factor

We found the factors 839,3309 . The biggest common factor number is the GCF number.
So the greatest common factor 839,3309 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 413/839, 3753/3309

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 413/839, 3753/3309?

Answer: LCM of Numerators as per given numbers 413/839, 3753/3309 is

LCM of Numerators i.e. for 413,3753 is 1549989

GCF of denominators i.e. for 839,3309 is 1.

Thus, LCM of Fractions is 1549989.Finally, LCM of Fractions for 413/839, 3753/3309 is 1549989.