Given numbers are 736,560,368,747

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

The LCM of 736,560,368,747 is 19242720.

Find LCM of 736,560,368,747 with Prime Factorization

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

2 x 2 x 2 x 2 x 23 x 1 x 35 x 2 x 747 = 19242720

Therefore, the lowest common multiple of 736,560,368,747 is 19242720.

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.

736 x 560 x 368 x 747 = 113301135360

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,560,368,747, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

560:2x 2x 2x 2x 5x 7

368:2x 2x 2x 2x 23

747:3x 3x 83

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 2x 2x 2x 23 = 5888

Therefore, the value for common factors is 5888.

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 = 113301135360/(1x5888)

LCM = 113301135360/5888

LCM = 19242720

Thus, we can understand that the LCM of 736,560,368,747 is 19242720.

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

• LCM of 997, 262, 816, 171
• LCM of 798, 895, 410, 575
• LCM of 321, 421, 447, 520
• LCM of 910, 595, 676, 822
• LCM of 509, 228, 501, 108

1. What is the LCM of 736, 560, 368, 747?

Answer: LCM of 736, 560, 368, 747 is 19242720.

2. How to calculate the LCM of 736, 560, 368, 747?

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 736, 560, 368, 747.

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}.