Given numbers are 728,616,460,276

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

The LCM of 728,616,460,276 is 2762760.

Find LCM of 728,616,460,276 with Prime Factorization

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

2 x 2 x 2 x 7 x 23 x 13 x 11 x 5 x 3 = 2762760

Therefore, the lowest common multiple of 728,616,460,276 is 2762760.

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 616 x 460 x 276 = 56934958080

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

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,616,460,276, is 4.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

616:2x 2x 2x 7x 11

460:2x 2x 5x 23

276:2x 2x 3x 23

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 7x 23 = 5152

Therefore, the value for common factors is 5152.

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 = 56934958080/(4x5152)

LCM = 56934958080/20608

LCM = 2762760

Thus, we can understand that the LCM of 728,616,460,276 is 2762760.

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

• LCM of 694, 426, 613, 444
• LCM of 530, 173, 837, 502
• LCM of 654, 336, 107, 197
• LCM of 755, 670, 800, 585
• LCM of 938, 238, 972, 790

1. What is the LCM of 728, 616, 460, 276?

Answer: LCM of 728, 616, 460, 276 is 2762760.

2. How to calculate the LCM of 728, 616, 460, 276?

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, 616, 460, 276.

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}.