Given numbers are 960,468,214,553

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

The LCM of 960,468,214,553 is 2215362240.

Find LCM of 960,468,214,553 with Prime Factorization

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

2 x 2 x 3 x 80 x 39 x 107 x 553 = 2215362240

Therefore, the lowest common multiple of 960,468,214,553 is 2215362240.

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.

960 x 468 x 214 x 553 = 53168693760

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.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

214 : 1, 2, 107, 214

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,468,214,553, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

468:2x 2x 3x 3x 13

214:2x 107

553:7x 79

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 3 = 24

Therefore, the value for common factors is 24.

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 = 53168693760/(1x24)

LCM = 53168693760/24

LCM = 2215362240

Thus, we can understand that the LCM of 960,468,214,553 is 2215362240.

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

• LCM of 164, 182, 815, 298
• LCM of 798, 450, 280, 817
• LCM of 798, 130, 173, 247
• LCM of 977, 835, 578, 488
• LCM of 722, 359, 997, 619

1. What is the LCM of 960, 468, 214, 553?

Answer: LCM of 960, 468, 214, 553 is 2215362240.

2. How to calculate the LCM of 960, 468, 214, 553?

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 960, 468, 214, 553.

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}.