Given numbers are 406,316,869,407,728

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

The LCM of 406,316,869,407,728 is 678814136.

Find LCM of 406,316,869,407,728 with Prime Factorization

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

2 x 2 x 7 x 11 x 79 x 29 x 1 x 1 x 37 x 26 = 678814136

Therefore, the lowest common multiple of 406,316,869,407,728 is 678814136.

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 316 x 869 x 407 x 728 = 33033811114304

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

316 : 1, 2, 4, 79, 158, 316

869 : 1, 11, 79, 869

407 : 1, 11, 37, 407

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,316,869,407,728, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

316:2x 2x 79

869:11x 79

407:11x 37

728:2x 2x 2x 7x 13

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 7x 11x 79 = 48664

Therefore, the value for common factors is 48664.

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 = 33033811114304/(1x48664)

LCM = 33033811114304/48664

LCM = 678814136

Thus, we can understand that the LCM of 406,316,869,407,728 is 678814136.

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

• LCM of 899, 513, 316, 251, 525
• LCM of 457, 946, 324, 776, 341
• LCM of 912, 938, 947, 731, 595
• LCM of 761, 612, 949, 368, 516
• LCM of 526, 180, 184, 738, 521

1. What is the LCM of 406, 316, 869, 407, 728?

Answer: LCM of 406, 316, 869, 407, 728 is 678814136.

2. How to calculate the LCM of 406, 316, 869, 407, 728?

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, 316, 869, 407, 728.

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}.