Given numbers are 417,314,914,628

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

The LCM of 417,314,914,628 is 119677332.

Find LCM of 417,314,914,628 with Prime Factorization

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

2 x 157 x 417 x 1 x 457 x 2 = 119677332

Therefore, the lowest common multiple of 417,314,914,628 is 119677332.

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.

417 x 314 x 914 x 628 = 75157364496

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.

417 : 1, 3, 139, 417

314 : 1, 2, 157, 314

914 : 1, 2, 457, 914

628 : 1, 2, 4, 157, 314, 628

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 417,314,914,628, is 1.

Now, the common factors can be found like this.

417:3x 139

314:2x 157

914:2x 457

628:2x 2x 157

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 157 = 628

Therefore, the value for common factors is 628.

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 = 75157364496/(1x628)

LCM = 75157364496/628

LCM = 119677332

Thus, we can understand that the LCM of 417,314,914,628 is 119677332.

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

• LCM of 399, 171, 568, 820
• LCM of 870, 717, 595, 611
• LCM of 743, 842, 186, 815
• LCM of 331, 325, 509, 892
• LCM of 420, 814, 770, 986

1. What is the LCM of 417, 314, 914, 628?

Answer: LCM of 417, 314, 914, 628 is 119677332.

2. How to calculate the LCM of 417, 314, 914, 628?

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 417, 314, 914, 628.

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}.