Given numbers are 535,624,585,402

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

The LCM of 535,624,585,402 is 67101840.

Find LCM of 535,624,585,402 with Prime Factorization

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

2 x 3 x 5 x 13 x 107 x 8 x 3 x 67 = 67101840

Therefore, the lowest common multiple of 535,624,585,402 is 67101840.

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.

535 x 624 x 585 x 402 = 78509152800

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.

535 : 1, 5, 107, 535

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,624,585,402, is 1.

Now, the common factors can be found like this.

535:5x 107

624:2x 2x 2x 2x 3x 13

585:3x 3x 5x 13

402:2x 3x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 5x 13 = 1170

Therefore, the value for common factors is 1170.

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 = 78509152800/(1x1170)

LCM = 78509152800/1170

LCM = 67101840

Thus, we can understand that the LCM of 535,624,585,402 is 67101840.

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

• LCM of 722, 404, 870, 268
• LCM of 530, 876, 420, 261
• LCM of 543, 109, 278, 396
• LCM of 689, 645, 515, 701
• LCM of 629, 634, 194, 816

1. What is the LCM of 535, 624, 585, 402?

Answer: LCM of 535, 624, 585, 402 is 67101840.

2. How to calculate the LCM of 535, 624, 585, 402?

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 535, 624, 585, 402.

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}.