Given numbers are 469,704,135,250,503

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

The LCM of 469,704,135,250,503 is 560515032000.

Find LCM of 469,704,135,250,503 with Prime Factorization

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

2 x 5 x 469 x 352 x 27 x 25 x 503 = 560515032000

Therefore, the lowest common multiple of 469,704,135,250,503 is 560515032000.

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.

469 x 704 x 135 x 250 x 503 = 5605150320000

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.

469 : 1, 7, 67, 469

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

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

250 : 1, 2, 5, 10, 25, 50, 125, 250

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,704,135,250,503, is 1.

Now, the common factors can be found like this.

469:7x 67

704:2x 2x 2x 2x 2x 2x 11

135:3x 3x 3x 5

250:2x 5x 5x 5

503:503

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 5605150320000/(1x10)

LCM = 5605150320000/10

LCM = 560515032000

Thus, we can understand that the LCM of 469,704,135,250,503 is 560515032000.

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

• LCM of 359, 805, 276, 653, 408
• LCM of 790, 778, 466, 316, 938
• LCM of 337, 679, 347, 935, 934
• LCM of 970, 393, 920, 232, 543
• LCM of 277, 383, 863, 898, 815

1. What is the LCM of 469, 704, 135, 250, 503?

Answer: LCM of 469, 704, 135, 250, 503 is 560515032000.

2. How to calculate the LCM of 469, 704, 135, 250, 503?

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 469, 704, 135, 250, 503.

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}.