Given numbers are 728,276,652,506,356

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

The LCM of 728,276,652,506,356 is 8015871864.

Find LCM of 728,276,652,506,356 with Prime Factorization

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

2 x 2 x 23 x 182 x 3 x 163 x 11 x 89 = 8015871864

Therefore, the lowest common multiple of 728,276,652,506,356 is 8015871864.

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.

728 x 276 x 652 x 506 x 356 = 23598726767616

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.

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

652 : 1, 2, 4, 163, 326, 652

506 : 1, 2, 11, 22, 23, 46, 253, 506

356 : 1, 2, 4, 89, 178, 356

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,276,652,506,356, is 2.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

276:2x 2x 3x 23

652:2x 2x 163

506:2x 11x 23

356:2x 2x 89

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 2x 23 = 1472

Therefore, the value for common factors is 1472.

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 = 23598726767616/(2x1472)

LCM = 23598726767616/2944

LCM = 8015871864

Thus, we can understand that the LCM of 728,276,652,506,356 is 8015871864.

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

• LCM of 109, 798, 228, 286, 149
• LCM of 687, 359, 527, 859, 446
• LCM of 963, 548, 641, 125, 464
• LCM of 894, 914, 693, 115, 878
• LCM of 433, 182, 425, 100, 921

1. What is the LCM of 728, 276, 652, 506, 356?

Answer: LCM of 728, 276, 652, 506, 356 is 8015871864.

2. How to calculate the LCM of 728, 276, 652, 506, 356?

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 728, 276, 652, 506, 356.

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}.