Least Common Multiple of 412/87, 6452/621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 412/87, 6452/621 quickly i.e. 664556/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 412/87, 6452/621 is 664556/3.

LCM(412/87, 6452/621) = 664556/3

LCM of 412/87, 6452/621

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 412/87,6452/621

Given numbers are 412/87,6452/621

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 412,6452

Least Common Multiple of Numerators i.e. LCM of 412,6452 is 664556.

GCF of Denominators means GCF of 87,621 as per the given fractions.

GCF of 87,621 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 412,6452

LCM of Fractions 412/87,6452/621 is 664556/3

2 412, 6452
2 206, 3226
103, 1613

∴ So the LCM of the given numbers is 2 x 2 x 103 x 1613 = 664556

Least Common Multiple of 412,6452 with GCF Formula

Least Common Multiple of 412,6452 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 412,6452 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(412,6452) = 4

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

GCF(412,6452) x common factors =4 x 1 = 4

LCM(412,6452) = ( 412 × 6452 ) / 4

LCM(412,6452) = 2658224 / 4

LCM(412,6452) = 664556


Lets's calculate GCF of 87,621

3 87, 621
29, 207

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664556/3

Therefore the LCM of Fractions 412/87,6452/621 is 664556/3

Greatest Common Factor of 87,621 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,621 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Greatest Common Factor

We found the factors 87,621 . The biggest common factor number is the GCF number.
So the greatest common factor 87,621 is 3.


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 412/87, 6452/621

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 412/87, 6452/621?

Answer: LCM of Numerators as per given numbers 412/87, 6452/621 is

LCM of Numerators i.e. for 412,6452 is 664556

GCF of denominators i.e. for 87,621 is 3.

Thus, LCM of Fractions is 664556/3.Finally, LCM of Fractions for 412/87, 6452/621 is 664556/3.