Given numbers are 490,652,432,812

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

The LCM of 490,652,432,812 is 500305680.

Find LCM of 490,652,432,812 with Prime Factorization

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

2 x 2 x 7 x 35 x 163 x 108 x 29 = 500305680

Therefore, the lowest common multiple of 490,652,432,812 is 500305680.

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 652 x 432 x 812 = 112068472320

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

652 : 1, 2, 4, 163, 326, 652

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 490,652,432,812, is 2.

Now, the common factors can be found like this.

490:2x 5x 7x 7

652:2x 2x 163

432:2x 2x 2x 2x 3x 3x 3

812:2x 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 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 112068472320/(2x112)

LCM = 112068472320/224

LCM = 500305680

Thus, we can understand that the LCM of 490,652,432,812 is 500305680.

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

• LCM of 153, 964, 930, 255
• LCM of 109, 804, 603, 899
• LCM of 617, 175, 882, 121
• LCM of 796, 163, 333, 752
• LCM of 877, 867, 416, 447

1. What is the LCM of 490, 652, 432, 812?

Answer: LCM of 490, 652, 432, 812 is 500305680.

2. How to calculate the LCM of 490, 652, 432, 812?

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, 652, 432, 812.

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}.