Given numbers are 432,248,708,812

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

The LCM of 432,248,708,812 is 160395984.

Find LCM of 432,248,708,812 with Prime Factorization

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

2 x 2 x 2 x 3 x 18 x 31 x 59 x 203 = 160395984

Therefore, the lowest common multiple of 432,248,708,812 is 160395984.

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.

432 x 248 x 708 x 812 = 61592057856

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.

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

248 : 1, 2, 4, 8, 31, 62, 124, 248

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 432,248,708,812, is 4.

Now, the common factors can be found like this.

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

248:2x 2x 2x 31

708:2x 2x 3x 59

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 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 61592057856/(4x96)

LCM = 61592057856/384

LCM = 160395984

Thus, we can understand that the LCM of 432,248,708,812 is 160395984.

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

• LCM of 796, 707, 758, 826
• LCM of 260, 709, 369, 290
• LCM of 533, 134, 705, 146
• LCM of 946, 516, 407, 120
• LCM of 794, 806, 184, 747

1. What is the LCM of 432, 248, 708, 812?

Answer: LCM of 432, 248, 708, 812 is 160395984.

2. How to calculate the LCM of 432, 248, 708, 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 432, 248, 708, 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}.