Given numbers are 462,223,230,702,460

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

The LCM of 462,223,230,702,460 is 2772429660.

Find LCM of 462,223,230,702,460 with Prime Factorization

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

2 x 3 x 5 x 23 x 77 x 223 x 1 x 117 x 2 = 2772429660

Therefore, the lowest common multiple of 462,223,230,702,460 is 2772429660.

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.

462 x 223 x 230 x 702 x 460 = 7651905861600

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.

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

223 : 1, 223

230 : 1, 2, 5, 10, 23, 46, 115, 230

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 462,223,230,702,460, is 1.

Now, the common factors can be found like this.

462:2x 3x 7x 11

223:223

230:2x 5x 23

702:2x 3x 3x 3x 13

460:2x 2x 5x 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 2x 3x 5x 23 = 2760

Therefore, the value for common factors is 2760.

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 = 7651905861600/(1x2760)

LCM = 7651905861600/2760

LCM = 2772429660

Thus, we can understand that the LCM of 462,223,230,702,460 is 2772429660.

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

• LCM of 141, 240, 670, 685, 726
• LCM of 838, 624, 507, 540, 552
• LCM of 172, 458, 439, 792, 228
• LCM of 842, 545, 615, 602, 459
• LCM of 822, 314, 621, 194, 662

1. What is the LCM of 462, 223, 230, 702, 460?

Answer: LCM of 462, 223, 230, 702, 460 is 2772429660.

2. How to calculate the LCM of 462, 223, 230, 702, 460?

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 462, 223, 230, 702, 460.

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}.