Given numbers are 920,430,727,408,460

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

The LCM of 920,430,727,408,460 is 1466766120.

Find LCM of 920,430,727,408,460 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 1 x 43 x 727 x 51 x 1 = 1466766120

Therefore, the lowest common multiple of 920,430,727,408,460 is 1466766120.

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.

920 x 430 x 727 x 408 x 460 = 53976993216000

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

430 : 1, 2, 5, 10, 43, 86, 215, 430

727 : 1, 727

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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 920,430,727,408,460, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

430:2x 5x 43

727:727

408:2x 2x 2x 3x 17

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 2x 2x 2x 5x 5x 23 = 36800

Therefore, the value for common factors is 36800.

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 = 53976993216000/(1x36800)

LCM = 53976993216000/36800

LCM = 1466766120

Thus, we can understand that the LCM of 920,430,727,408,460 is 1466766120.

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

• LCM of 117, 684, 807, 797, 817
• LCM of 718, 979, 818, 672, 140
• LCM of 487, 724, 692, 684, 182
• LCM of 191, 859, 782, 994, 833
• LCM of 695, 738, 740, 234, 801

1. What is the LCM of 920, 430, 727, 408, 460?

Answer: LCM of 920, 430, 727, 408, 460 is 1466766120.

2. How to calculate the LCM of 920, 430, 727, 408, 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 920, 430, 727, 408, 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}.