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LCM of 6, 412, 486, 623

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


Find the LCM of 6, 412, 486, 623 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 6, 412, 486, 623. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,412,486,623

Given numbers are 6,412,486,623

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

The LCM of 6,412,486,623 is 62372268.

Find LCM of 6,412,486,623 with Prime Factorization


2 6, 412, 486, 623
3 3, 206, 243, 623
1, 206, 81, 623

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

2 x 3 x 1 x 206 x 81 x 623 = 62372268

Therefore, the lowest common multiple of 6,412,486,623 is 62372268.

LCM Formula to Find Lowest Common Multiple of 6,412,486,623

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.

6 x 412 x 486 x 623 = 748467216

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.

6 : 1, 2, 3, 6

412 : 1, 2, 4, 103, 206, 412

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

623 : 1, 7, 89, 623

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,412,486,623, is 1.

Now, the common factors can be found like this.

6:2x 3

412:2x 2x 103

486:2x 3x 3x 3x 3x 3

623:7x 89

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 748467216/(1x12)

LCM = 748467216/12

LCM = 62372268

Thus, we can understand that the LCM of 6,412,486,623 is 62372268.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 412, 486, 623

1. What is the LCM of 6, 412, 486, 623?

Answer: LCM of 6, 412, 486, 623 is 62372268.

2. How to calculate the LCM of 6, 412, 486, 623?

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 6, 412, 486, 623.

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}.