Given numbers are 511,964,732,720,406

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

The LCM of 511,964,732,720,406 is 156854965680.

Find LCM of 511,964,732,720,406 with Prime Factorization

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

2 x 2 x 3 x 7 x 73 x 241 x 61 x 60 x 29 = 156854965680

Therefore, the lowest common multiple of 511,964,732,720,406 is 156854965680.

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.

511 x 964 x 732 x 720 x 406 = 105406536936960

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.

511 : 1, 7, 73, 511

964 : 1, 2, 4, 241, 482, 964

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

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

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,964,732,720,406, is 1.

Now, the common factors can be found like this.

511:7x 73

964:2x 2x 241

732:2x 2x 3x 61

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

406:2x 7x 29

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 7 = 672

Therefore, the value for common factors is 672.

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 = 105406536936960/(1x672)

LCM = 105406536936960/672

LCM = 156854965680

Thus, we can understand that the LCM of 511,964,732,720,406 is 156854965680.

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

• LCM of 542, 462, 673, 610, 215
• LCM of 797, 501, 863, 923, 814
• LCM of 742, 243, 689, 315, 851
• LCM of 484, 100, 834, 859, 875
• LCM of 725, 538, 770, 311, 899

1. What is the LCM of 511, 964, 732, 720, 406?

Answer: LCM of 511, 964, 732, 720, 406 is 156854965680.

2. How to calculate the LCM of 511, 964, 732, 720, 406?

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 511, 964, 732, 720, 406.

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}.