Given numbers are 952,147,408,828,503

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

The LCM of 952,147,408,828,503 is 693862344.

Find LCM of 952,147,408,828,503 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 17 x 1 x 7 x 1 x 69 x 503 = 693862344

Therefore, the lowest common multiple of 952,147,408,828,503 is 693862344.

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.

952 x 147 x 408 x 828 x 503 = 23780050253568

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.

952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

147 : 1, 3, 7, 21, 49, 147

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,147,408,828,503, is 1.

Now, the common factors can be found like this.

952:2x 2x 2x 7x 17

147:3x 7x 7

408:2x 2x 2x 3x 17

828:2x 2x 3x 3x 23

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 2x 2x 2x 2x 3x 3x 7x 17 = 34272

Therefore, the value for common factors is 34272.

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 = 23780050253568/(1x34272)

LCM = 23780050253568/34272

LCM = 693862344

Thus, we can understand that the LCM of 952,147,408,828,503 is 693862344.

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

• LCM of 504, 725, 815, 798, 847
• LCM of 600, 936, 250, 629, 616
• LCM of 800, 294, 846, 978, 984
• LCM of 989, 245, 481, 682, 361
• LCM of 730, 790, 772, 844, 151

1. What is the LCM of 952, 147, 408, 828, 503?

Answer: LCM of 952, 147, 408, 828, 503 is 693862344.

2. How to calculate the LCM of 952, 147, 408, 828, 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 952, 147, 408, 828, 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}.