Given numbers are 972,808,436,406

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

The LCM of 972,808,436,406 is 4344503688.

Find LCM of 972,808,436,406 with Prime Factorization

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

2 x 2 x 243 x 202 x 109 x 203 = 4344503688

Therefore, the lowest common multiple of 972,808,436,406 is 4344503688.

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.

972 x 808 x 436 x 406 = 139024118016

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.

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

808 : 1, 2, 4, 8, 101, 202, 404, 808

436 : 1, 2, 4, 109, 218, 436

406 : 1, 2, 7, 14, 29, 58, 203, 406

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,808,436,406, is 2.

Now, the common factors can be found like this.

972:2x 2x 3x 3x 3x 3x 3

808:2x 2x 2x 101

436:2x 2x 109

406:2x 7x 29

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 139024118016/(2x16)

LCM = 139024118016/32

LCM = 4344503688

Thus, we can understand that the LCM of 972,808,436,406 is 4344503688.

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

• LCM of 296, 212, 737, 138
• LCM of 351, 200, 844, 990
• LCM of 251, 194, 547, 270
• LCM of 850, 807, 117, 914
• LCM of 166, 151, 428, 791

1. What is the LCM of 972, 808, 436, 406?

Answer: LCM of 972, 808, 436, 406 is 4344503688.

2. How to calculate the LCM of 972, 808, 436, 406?

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 972, 808, 436, 406.

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}.