Given numbers are 460,726,195,145,437

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

The LCM of 460,726,195,145,437 is 1196077740.

Find LCM of 460,726,195,145,437 with Prime Factorization

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

2 x 3 x 5 x 23 x 2 x 121 x 13 x 29 x 19 = 1196077740

Therefore, the lowest common multiple of 460,726,195,145,437 is 1196077740.

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.

460 x 726 x 195 x 145 x 437 = 4126468203000

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.

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

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

195 : 1, 3, 5, 13, 15, 39, 65, 195

145 : 1, 5, 29, 145

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,726,195,145,437, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

726:2x 3x 11x 11

195:3x 5x 13

145:5x 29

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 3x 5x 5x 23 = 3450

Therefore, the value for common factors is 3450.

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 = 4126468203000/(1x3450)

LCM = 4126468203000/3450

LCM = 1196077740

Thus, we can understand that the LCM of 460,726,195,145,437 is 1196077740.

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

• LCM of 627, 294, 615, 778, 368
• LCM of 501, 979, 417, 762, 514
• LCM of 158, 679, 663, 891, 577
• LCM of 501, 330, 690, 913, 317
• LCM of 864, 485, 279, 831, 722

1. What is the LCM of 460, 726, 195, 145, 437?

Answer: LCM of 460, 726, 195, 145, 437 is 1196077740.

2. How to calculate the LCM of 460, 726, 195, 145, 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 460, 726, 195, 145, 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}.