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LCM of 446, 702, 486, 908

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


Find the LCM of 446, 702, 486, 908 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 446, 702, 486, 908. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,702,486,908

Given numbers are 446,702,486,908

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

The LCM of 446,702,486,908 is 639646956.

Find LCM of 446,702,486,908 with Prime Factorization


2 446, 702, 486, 908
3 223, 351, 243, 454
3 223, 117, 81, 454
3 223, 39, 27, 454
223, 13, 9, 454

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

2 x 3 x 3 x 3 x 223 x 13 x 9 x 454 = 639646956

Therefore, the lowest common multiple of 446,702,486,908 is 639646956.

LCM Formula to Find Lowest Common Multiple of 446,702,486,908

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.

446 x 702 x 486 x 908 = 138163742496

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.

446 : 1, 2, 223, 446

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

908 : 1, 2, 4, 227, 454, 908

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,702,486,908, is 2.

Now, the common factors can be found like this.

446:2x 223

702:2x 3x 3x 3x 13

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

908:2x 2x 227

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 138163742496/(2x108)

LCM = 138163742496/216

LCM = 639646956

Thus, we can understand that the LCM of 446,702,486,908 is 639646956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 702, 486, 908

1. What is the LCM of 446, 702, 486, 908?

Answer: LCM of 446, 702, 486, 908 is 639646956.

2. How to calculate the LCM of 446, 702, 486, 908?

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 446, 702, 486, 908.

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}.