Given numbers are 290,284,247,315

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

The LCM of 290,284,247,315 is 640801980.

Find LCM of 290,284,247,315 with Prime Factorization

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

2 x 5 x 29 x 142 x 247 x 63 = 640801980

Therefore, the lowest common multiple of 290,284,247,315 is 640801980.

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.

290 x 284 x 247 x 315 = 6408019800

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

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

247 : 1, 13, 19, 247

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,284,247,315, is 1.

Now, the common factors can be found like this.

290:2x 5x 29

284:2x 2x 71

247:13x 19

315:3x 3x 5x 7

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 6408019800/(1x10)

LCM = 6408019800/10

LCM = 640801980

Thus, we can understand that the LCM of 290,284,247,315 is 640801980.

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

• LCM of 865, 463, 428, 831
• LCM of 323, 591, 507, 294
• LCM of 520, 518, 904, 538
• LCM of 881, 968, 337, 465
• LCM of 948, 153, 665, 153

1. What is the LCM of 290, 284, 247, 315?

Answer: LCM of 290, 284, 247, 315 is 640801980.

2. How to calculate the LCM of 290, 284, 247, 315?

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 290, 284, 247, 315.

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}.