Given numbers are 405,528,354,825

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

The LCM of 405,528,354,825 is 21027600.

Find LCM of 405,528,354,825 with Prime Factorization

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

2 x 3 x 5 x 11 x 27 x 8 x 59 x 5 = 21027600

Therefore, the lowest common multiple of 405,528,354,825 is 21027600.

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.

405 x 528 x 354 x 825 = 62451972000

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.

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

354 : 1, 2, 3, 6, 59, 118, 177, 354

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,528,354,825, is 3.

Now, the common factors can be found like this.

405:3x 3x 3x 3x 5

528:2x 2x 2x 2x 3x 11

354:2x 3x 59

825:3x 5x 5x 11

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 11 = 990

Therefore, the value for common factors is 990.

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 = 62451972000/(3x990)

LCM = 62451972000/2970

LCM = 21027600

Thus, we can understand that the LCM of 405,528,354,825 is 21027600.

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

• LCM of 798, 656, 796, 264
• LCM of 452, 789, 508, 359
• LCM of 807, 567, 788, 864
• LCM of 407, 692, 846, 149
• LCM of 744, 841, 851, 606

1. What is the LCM of 405, 528, 354, 825?

Answer: LCM of 405, 528, 354, 825 is 21027600.

2. How to calculate the LCM of 405, 528, 354, 825?

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 405, 528, 354, 825.

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}.