Given numbers are 312,744,556,660

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

The LCM of 312,744,556,660 is 73942440.

Find LCM of 312,744,556,660 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 31 x 139 x 55 = 73942440

Therefore, the lowest common multiple of 312,744,556,660 is 73942440.

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 744 x 556 x 660 = 85181690880

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

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

556 : 1, 2, 4, 139, 278, 556

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,744,556,660, is 4.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

744:2x 2x 2x 3x 31

556:2x 2x 139

660:2x 2x 3x 5x 11

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 85181690880/(4x288)

LCM = 85181690880/1152

LCM = 73942440

Thus, we can understand that the LCM of 312,744,556,660 is 73942440.

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

• LCM of 891, 236, 299, 372
• LCM of 881, 380, 514, 488
• LCM of 533, 589, 785, 588
• LCM of 404, 359, 194, 765
• LCM of 594, 749, 635, 984

1. What is the LCM of 312, 744, 556, 660?

Answer: LCM of 312, 744, 556, 660 is 73942440.

2. How to calculate the LCM of 312, 744, 556, 660?

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, 744, 556, 660.

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}.