Given numbers are 312,562,432,130

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

The LCM of 312,562,432,130 is 7890480.

Find LCM of 312,562,432,130 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 1 x 281 x 18 x 5 = 7890480

Therefore, the lowest common multiple of 312,562,432,130 is 7890480.

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.

312 x 562 x 432 x 130 = 9847319040

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

562 : 1, 2, 281, 562

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

130 : 1, 2, 5, 10, 13, 26, 65, 130

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,562,432,130, is 2.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

562:2x 281

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

130:2x 5x 13

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 3x 13 = 624

Therefore, the value for common factors is 624.

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 = 9847319040/(2x624)

LCM = 9847319040/1248

LCM = 7890480

Thus, we can understand that the LCM of 312,562,432,130 is 7890480.

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

• LCM of 557, 572, 222, 959
• LCM of 650, 786, 152, 737
• LCM of 625, 737, 557, 262
• LCM of 712, 460, 446, 508
• LCM of 933, 749, 263, 433

1. What is the LCM of 312, 562, 432, 130?

Answer: LCM of 312, 562, 432, 130 is 7890480.

2. How to calculate the LCM of 312, 562, 432, 130?

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 312, 562, 432, 130.

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}.