Given numbers are 428,135,537,720,717

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

The LCM of 428,135,537,720,717 is 9887544720.

Find LCM of 428,135,537,720,717 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 107 x 3 x 179 x 4 x 239 = 9887544720

Therefore, the lowest common multiple of 428,135,537,720,717 is 9887544720.

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.

428 x 135 x 537 x 720 x 717 = 16017822446400

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.

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

537 : 1, 3, 179, 537

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,135,537,720,717, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

135:3x 3x 3x 5

537:3x 179

720:2x 2x 2x 2x 3x 3x 5

717:3x 239

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 3x 3x 3x 3x 5 = 1620

Therefore, the value for common factors is 1620.

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 = 16017822446400/(1x1620)

LCM = 16017822446400/1620

LCM = 9887544720

Thus, we can understand that the LCM of 428,135,537,720,717 is 9887544720.

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

• LCM of 535, 802, 797, 384, 553
• LCM of 341, 938, 693, 471, 850
• LCM of 950, 986, 892, 150, 217
• LCM of 303, 488, 748, 202, 175
• LCM of 100, 416, 474, 879, 752

1. What is the LCM of 428, 135, 537, 720, 717?

Answer: LCM of 428, 135, 537, 720, 717 is 9887544720.

2. How to calculate the LCM of 428, 135, 537, 720, 717?

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 428, 135, 537, 720, 717.

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}.