Least Common Multiple of 3471/644, 8651/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3471/644, 8651/413 quickly i.e. 30027621/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3471/644, 8651/413 is 30027621/7.

LCM(3471/644, 8651/413) = 30027621/7

LCM of 3471/644, 8651/413

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 3471/644,8651/413

Given numbers are 3471/644,8651/413

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 3471,8651

Least Common Multiple of Numerators i.e. LCM of 3471,8651 is 30027621.

GCF of Denominators means GCF of 644,413 as per the given fractions.

GCF of 644,413 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3471,8651

LCM of Fractions 3471/644,8651/413 is 30027621/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 30027621

Least Common Multiple of 3471,8651 with GCF Formula

Least Common Multiple of 3471,8651 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 3471,8651 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3471,8651) = 1

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

GCF(3471,8651) x common factors =1 x 1 = 1

LCM(3471,8651) = ( 3471 × 8651 ) / 1

LCM(3471,8651) = 30027621 / 1

LCM(3471,8651) = 30027621


Lets's calculate GCF of 644,413

7 644, 413
92, 59

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30027621/7

Therefore the LCM of Fractions 3471/644,8651/413 is 30027621/7

Greatest Common Factor of 644,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,413 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 644,413 . The biggest common factor number is the GCF number.
So the greatest common factor 644,413 is 7.


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 3471/644, 8651/413

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 3471/644, 8651/413?

Answer: LCM of Numerators as per given numbers 3471/644, 8651/413 is

LCM of Numerators i.e. for 3471,8651 is 30027621

GCF of denominators i.e. for 644,413 is 7.

Thus, LCM of Fractions is 30027621/7.Finally, LCM of Fractions for 3471/644, 8651/413 is 30027621/7.