LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 461, 391, 621

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 461, 391, 621 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 461, 391, 621. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 461,391,621

Given numbers are 461,391,621

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 461,391,621 is 4866777.

Find LCM of 461,391,621 with Prime Factorization


23 461, 391, 621
461, 17, 27

Multiply the prime numbers at the bottom and the left side.

23 x 461 x 17 x 27 = 4866777

Therefore, the lowest common multiple of 461,391,621 is 4866777.

LCM Formula to Find Lowest Common Multiple of 461,391,621

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

461 x 391 x 621 = 111935871

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

461 : 1, 461

391 : 1, 17, 23, 391

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,391,621, is 1.

Now, the common factors can be found like this.

461:461

391:17x 23

621:3x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

23 = 23

Therefore, the value for common factors is 23.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 111935871/(1x23)

LCM = 111935871/23

LCM = 4866777

Thus, we can understand that the LCM of 461,391,621 is 4866777.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 461, 391, 621

1. What is the LCM of 461, 391, 621?

Answer: LCM of 461, 391, 621 is 4866777.

2. How to calculate the LCM of 461, 391, 621?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 461, 391, 621.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.