Given numbers are 468,541,698,960

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

The LCM of 468,541,698,960 is 7069008960.

Find LCM of 468,541,698,960 with Prime Factorization

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

2 x 2 x 3 x 39 x 541 x 349 x 80 = 7069008960

Therefore, the lowest common multiple of 468,541,698,960 is 7069008960.

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.

468 x 541 x 698 x 960 = 169656215040

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.

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

541 : 1, 541

698 : 1, 2, 349, 698

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,541,698,960, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

541:541

698:2x 349

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

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 = 169656215040/(1x24)

LCM = 169656215040/24

LCM = 7069008960

Thus, we can understand that the LCM of 468,541,698,960 is 7069008960.

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

• LCM of 102, 244, 885, 806
• LCM of 770, 384, 160, 366
• LCM of 636, 218, 601, 174
• LCM of 897, 897, 867, 422
• LCM of 229, 961, 532, 117

1. What is the LCM of 468, 541, 698, 960?

Answer: LCM of 468, 541, 698, 960 is 7069008960.

2. How to calculate the LCM of 468, 541, 698, 960?

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 468, 541, 698, 960.

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}.