Given numbers are 728,221,438,609,276

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

The LCM of 728,221,438,609,276 is 1807799448.

Find LCM of 728,221,438,609,276 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 2 x 17 x 73 x 29 x 23 = 1807799448

Therefore, the lowest common multiple of 728,221,438,609,276 is 1807799448.

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 221 x 438 x 609 x 276 = 11844701983296

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

221 : 1, 13, 17, 221

438 : 1, 2, 3, 6, 73, 146, 219, 438

609 : 1, 3, 7, 21, 29, 87, 203, 609

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,221,438,609,276, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

221:13x 17

438:2x 3x 73

609:3x 7x 29

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 3x 3x 7x 13 = 6552

Therefore, the value for common factors is 6552.

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 = 11844701983296/(1x6552)

LCM = 11844701983296/6552

LCM = 1807799448

Thus, we can understand that the LCM of 728,221,438,609,276 is 1807799448.

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

• LCM of 872, 719, 890, 872, 461
• LCM of 454, 270, 423, 460, 935
• LCM of 979, 200, 457, 354, 123
• LCM of 557, 297, 591, 101, 585
• LCM of 218, 212, 510, 101, 780

1. What is the LCM of 728, 221, 438, 609, 276?

Answer: LCM of 728, 221, 438, 609, 276 is 1807799448.

2. How to calculate the LCM of 728, 221, 438, 609, 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, 221, 438, 609, 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}.