Given numbers are 594,720,722,966

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

The LCM of 594,720,722,966 is 1380954960.

Find LCM of 594,720,722,966 with Prime Factorization

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

2 x 3 x 3 x 33 x 40 x 361 x 161 = 1380954960

Therefore, the lowest common multiple of 594,720,722,966 is 1380954960.

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.

594 x 720 x 722 x 966 = 298286271360

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.

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

722 : 1, 2, 19, 38, 361, 722

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 594,720,722,966, is 2.

Now, the common factors can be found like this.

594:2x 3x 3x 3x 11

720:2x 2x 2x 2x 3x 3x 5

722:2x 19x 19

966:2x 3x 7x 23

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 298286271360/(2x108)

LCM = 298286271360/216

LCM = 1380954960

Thus, we can understand that the LCM of 594,720,722,966 is 1380954960.

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

• LCM of 705, 664, 739, 977
• LCM of 667, 428, 150, 409
• LCM of 316, 193, 339, 921
• LCM of 375, 155, 470, 737
• LCM of 598, 592, 569, 317

1. What is the LCM of 594, 720, 722, 966?

Answer: LCM of 594, 720, 722, 966 is 1380954960.

2. How to calculate the LCM of 594, 720, 722, 966?

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 594, 720, 722, 966.

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}.