Given numbers are 256,684,212,460,437

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

The LCM of 256,684,212,460,437 is 266814720.

Find LCM of 256,684,212,460,437 with Prime Factorization

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

2 x 2 x 19 x 23 x 64 x 9 x 53 x 5 x 1 = 266814720

Therefore, the lowest common multiple of 256,684,212,460,437 is 266814720.

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.

256 x 684 x 212 x 460 x 437 = 7462274088960

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.

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

212 : 1, 2, 4, 53, 106, 212

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

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,684,212,460,437, is 1.

Now, the common factors can be found like this.

256:2x 2x 2x 2x 2x 2x 2x 2

684:2x 2x 3x 3x 19

212:2x 2x 53

460:2x 2x 5x 23

437:19x 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 2x 2x 2x 19x 23 = 27968

Therefore, the value for common factors is 27968.

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 = 7462274088960/(1x27968)

LCM = 7462274088960/27968

LCM = 266814720

Thus, we can understand that the LCM of 256,684,212,460,437 is 266814720.

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

• LCM of 839, 125, 491, 395, 384
• LCM of 243, 967, 645, 189, 491
• LCM of 926, 679, 308, 837, 600
• LCM of 199, 990, 244, 122, 410
• LCM of 240, 433, 126, 829, 141

1. What is the LCM of 256, 684, 212, 460, 437?

Answer: LCM of 256, 684, 212, 460, 437 is 266814720.

2. How to calculate the LCM of 256, 684, 212, 460, 437?

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 256, 684, 212, 460, 437.

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}.