Given numbers are 406,131,318,472,460

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

The LCM of 406,131,318,472,460 is 229511418360.

Find LCM of 406,131,318,472,460 with Prime Factorization

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

2 x 2 x 203 x 131 x 159 x 118 x 115 = 229511418360

Therefore, the lowest common multiple of 406,131,318,472,460 is 229511418360.

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.

406 x 131 x 318 x 472 x 460 = 3672182693760

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.

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

131 : 1, 131

318 : 1, 2, 3, 6, 53, 106, 159, 318

472 : 1, 2, 4, 8, 59, 118, 236, 472

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 406,131,318,472,460, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

131:131

318:2x 3x 53

472:2x 2x 2x 59

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3672182693760/(1x16)

LCM = 3672182693760/16

LCM = 229511418360

Thus, we can understand that the LCM of 406,131,318,472,460 is 229511418360.

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

• LCM of 197, 854, 563, 779, 166
• LCM of 830, 945, 319, 206, 907
• LCM of 885, 800, 267, 163, 423
• LCM of 920, 146, 770, 838, 424
• LCM of 548, 824, 492, 654, 220

1. What is the LCM of 406, 131, 318, 472, 460?

Answer: LCM of 406, 131, 318, 472, 460 is 229511418360.

2. How to calculate the LCM of 406, 131, 318, 472, 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 406, 131, 318, 472, 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}.