Given numbers are 490,598,602,408

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

The LCM of 490,598,602,408 is 1285185720.

Find LCM of 490,598,602,408 with Prime Factorization

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

2 x 7 x 35 x 299 x 43 x 204 = 1285185720

Therefore, the lowest common multiple of 490,598,602,408 is 1285185720.

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 598 x 602 x 408 = 71970400320

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

598 : 1, 2, 13, 23, 26, 46, 299, 598

602 : 1, 2, 7, 14, 43, 86, 301, 602

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,598,602,408, is 2.

Now, the common factors can be found like this.

490:2x 5x 7x 7

598:2x 13x 23

602:2x 7x 43

408:2x 2x 2x 3x 17

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 7 = 28

Therefore, the value for common factors is 28.

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 = 71970400320/(2x28)

LCM = 71970400320/56

LCM = 1285185720

Thus, we can understand that the LCM of 490,598,602,408 is 1285185720.

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

• LCM of 783, 878, 227, 206
• LCM of 936, 213, 334, 494
• LCM of 133, 422, 459, 327
• LCM of 181, 755, 925, 851
• LCM of 660, 812, 201, 146

1. What is the LCM of 490, 598, 602, 408?

Answer: LCM of 490, 598, 602, 408 is 1285185720.

2. How to calculate the LCM of 490, 598, 602, 408?

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, 598, 602, 408.

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}.