Least Common Multiple of 3404/464, 7716/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3404/464, 7716/841 quickly i.e. 6566316/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3404/464, 7716/841 is 6566316/29.

LCM(3404/464, 7716/841) = 6566316/29

LCM of 3404/464, 7716/841

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 3404/464,7716/841

Given numbers are 3404/464,7716/841

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 3404,7716

Least Common Multiple of Numerators i.e. LCM of 3404,7716 is 6566316.

GCF of Denominators means GCF of 464,841 as per the given fractions.

GCF of 464,841 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3404,7716

LCM of Fractions 3404/464,7716/841 is 6566316/29

2 3404, 7716
2 1702, 3858
851, 1929

∴ So the LCM of the given numbers is 2 x 2 x 851 x 1929 = 6566316

Least Common Multiple of 3404,7716 with GCF Formula

Least Common Multiple of 3404,7716 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 3404,7716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3404,7716) = 4

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

GCF(3404,7716) x common factors =4 x 1 = 4

LCM(3404,7716) = ( 3404 × 7716 ) / 4

LCM(3404,7716) = 26265264 / 4

LCM(3404,7716) = 6566316


Lets's calculate GCF of 464,841

29 464, 841
16, 29

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6566316/29

Therefore the LCM of Fractions 3404/464,7716/841 is 6566316/29

Greatest Common Factor of 464,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,841 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 464,841 . The biggest common factor number is the GCF number.
So the greatest common factor 464,841 is 29.


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 3404/464, 7716/841

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 3404/464, 7716/841?

Answer: LCM of Numerators as per given numbers 3404/464, 7716/841 is

LCM of Numerators i.e. for 3404,7716 is 6566316

GCF of denominators i.e. for 464,841 is 29.

Thus, LCM of Fractions is 6566316/29.Finally, LCM of Fractions for 3404/464, 7716/841 is 6566316/29.