Given numbers are 490,284,438,802

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

The LCM of 490,284,438,802 is 6110446020.

Find LCM of 490,284,438,802 with Prime Factorization

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

2 x 245 x 142 x 219 x 401 = 6110446020

Therefore, the lowest common multiple of 490,284,438,802 is 6110446020.

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.

490 x 284 x 438 x 802 = 48883568160

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.

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

284 : 1, 2, 4, 71, 142, 284

438 : 1, 2, 3, 6, 73, 146, 219, 438

802 : 1, 2, 401, 802

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,284,438,802, is 2.

Now, the common factors can be found like this.

490:2x 5x 7x 7

284:2x 2x 71

438:2x 3x 73

802:2x 401

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 48883568160/(2x4)

LCM = 48883568160/8

LCM = 6110446020

Thus, we can understand that the LCM of 490,284,438,802 is 6110446020.

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

• LCM of 301, 695, 171, 347
• LCM of 551, 713, 778, 747
• LCM of 530, 944, 549, 405
• LCM of 507, 520, 875, 193
• LCM of 896, 292, 635, 201

1. What is the LCM of 490, 284, 438, 802?

Answer: LCM of 490, 284, 438, 802 is 6110446020.

2. How to calculate the LCM of 490, 284, 438, 802?

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 490, 284, 438, 802.

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}.