Given numbers are 728,478,389,287,267

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

The LCM of 728,478,389,287,267 is 740924574936.

Find LCM of 728,478,389,287,267 with Prime Factorization

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

2 x 7 x 52 x 239 x 389 x 41 x 267 = 740924574936

Therefore, the lowest common multiple of 728,478,389,287,267 is 740924574936.

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 478 x 389 x 287 x 267 = 10372944049104

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

478 : 1, 2, 239, 478

389 : 1, 389

287 : 1, 7, 41, 287

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 728,478,389,287,267, is 1.

Now, the common factors can be found like this.

728:2x 2x 2x 7x 13

478:2x 239

389:389

287:7x 41

267:3x 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 7 = 14

Therefore, the value for common factors is 14.

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 = 10372944049104/(1x14)

LCM = 10372944049104/14

LCM = 740924574936

Thus, we can understand that the LCM of 728,478,389,287,267 is 740924574936.

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

• LCM of 647, 252, 382, 130, 387
• LCM of 671, 636, 927, 103, 340
• LCM of 175, 610, 448, 664, 361
• LCM of 317, 456, 897, 127, 939
• LCM of 849, 724, 967, 650, 805

1. What is the LCM of 728, 478, 389, 287, 267?

Answer: LCM of 728, 478, 389, 287, 267 is 740924574936.

2. How to calculate the LCM of 728, 478, 389, 287, 267?

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, 478, 389, 287, 267.

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}.