Given numbers are 406,196,457,470,721

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

The LCM of 406,196,457,470,721 is 62874617540.

Find LCM of 406,196,457,470,721 with Prime Factorization

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

2 x 7 x 29 x 14 x 457 x 235 x 103 = 62874617540

Therefore, the lowest common multiple of 406,196,457,470,721 is 62874617540.

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 196 x 457 x 470 x 721 = 12323425037840

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

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

457 : 1, 457

470 : 1, 2, 5, 10, 47, 94, 235, 470

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,196,457,470,721, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

196:2x 2x 7x 7

457:457

470:2x 5x 47

721:7x 103

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 7x 7 = 196

Therefore, the value for common factors is 196.

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 = 12323425037840/(1x196)

LCM = 12323425037840/196

LCM = 62874617540

Thus, we can understand that the LCM of 406,196,457,470,721 is 62874617540.

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

• LCM of 753, 797, 943, 849, 763
• LCM of 267, 954, 100, 668, 952
• LCM of 528, 597, 919, 122, 846
• LCM of 353, 374, 845, 300, 722
• LCM of 433, 892, 664, 730, 985

1. What is the LCM of 406, 196, 457, 470, 721?

Answer: LCM of 406, 196, 457, 470, 721 is 62874617540.

2. How to calculate the LCM of 406, 196, 457, 470, 721?

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, 196, 457, 470, 721.

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}.