Given numbers are 728,468,973,390,409

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

The LCM of 728,468,973,390,409 is 1862438760.

Find LCM of 728,468,973,390,409 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 3 x 139 x 5 x 409 = 1862438760

Therefore, the lowest common multiple of 728,468,973,390,409 is 1862438760.

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 468 x 973 x 390 x 409 = 52878361273920

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

973 : 1, 7, 139, 973

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,468,973,390,409, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

468:2x 2x 3x 3x 13

973:7x 139

390:2x 3x 5x 13

409:409

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 7x 13x 13 = 28392

Therefore, the value for common factors is 28392.

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 = 52878361273920/(1x28392)

LCM = 52878361273920/28392

LCM = 1862438760

Thus, we can understand that the LCM of 728,468,973,390,409 is 1862438760.

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

• LCM of 751, 191, 649, 554, 369
• LCM of 495, 243, 828, 663, 298
• LCM of 226, 610, 810, 282, 353
• LCM of 226, 228, 472, 710, 179
• LCM of 440, 312, 859, 469, 493

1. What is the LCM of 728, 468, 973, 390, 409?

Answer: LCM of 728, 468, 973, 390, 409 is 1862438760.

2. How to calculate the LCM of 728, 468, 973, 390, 409?

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, 468, 973, 390, 409.

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}.