Given numbers are 475,528,432,309

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

The LCM of 475,528,432,309 is 232491600.

Find LCM of 475,528,432,309 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 475 x 11 x 9 x 103 = 232491600

Therefore, the lowest common multiple of 475,528,432,309 is 232491600.

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.

475 x 528 x 432 x 309 = 33478790400

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.

475 : 1, 5, 19, 25, 95, 475

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

309 : 1, 3, 103, 309

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 475,528,432,309, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

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

432:2x 2x 2x 2x 3x 3x 3

309:3x 103

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 33478790400/(1x144)

LCM = 33478790400/144

LCM = 232491600

Thus, we can understand that the LCM of 475,528,432,309 is 232491600.

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

• LCM of 346, 285, 974, 578
• LCM of 657, 226, 678, 361
• LCM of 674, 661, 595, 581
• LCM of 110, 507, 204, 710
• LCM of 651, 115, 465, 968

1. What is the LCM of 475, 528, 432, 309?

Answer: LCM of 475, 528, 432, 309 is 232491600.

2. How to calculate the LCM of 475, 528, 432, 309?

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 475, 528, 432, 309.

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}.