Given numbers are 628,428,909,846,408

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

The LCM of 628,428,909,846,408 is 97607700072.

Find LCM of 628,428,909,846,408 with Prime Factorization

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

2 x 2 x 3 x 3 x 157 x 107 x 101 x 47 x 34 = 97607700072

Therefore, the lowest common multiple of 628,428,909,846,408 is 97607700072.

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.

628 x 428 x 909 x 846 x 408 = 84333052862208

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.

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

428 : 1, 2, 4, 107, 214, 428

909 : 1, 3, 9, 101, 303, 909

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,428,909,846,408, is 1.

Now, the common factors can be found like this.

628:2x 2x 157

428:2x 2x 107

909:3x 3x 101

846:2x 3x 3x 47

408:2x 2x 2x 3x 17

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 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 84333052862208/(1x864)

LCM = 84333052862208/864

LCM = 97607700072

Thus, we can understand that the LCM of 628,428,909,846,408 is 97607700072.

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

• LCM of 190, 596, 475, 522, 913
• LCM of 696, 316, 209, 438, 520
• LCM of 135, 508, 952, 386, 723
• LCM of 975, 833, 209, 404, 534
• LCM of 834, 245, 266, 597, 752

1. What is the LCM of 628, 428, 909, 846, 408?

Answer: LCM of 628, 428, 909, 846, 408 is 97607700072.

2. How to calculate the LCM of 628, 428, 909, 846, 408?

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 628, 428, 909, 846, 408.

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}.