Given numbers are 727,420,437,115,768

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

The LCM of 727,420,437,115,768 is 8539749120.

Find LCM of 727,420,437,115,768 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 727 x 7 x 19 x 1 x 64 = 8539749120

Therefore, the lowest common multiple of 727,420,437,115,768 is 8539749120.

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.

727 x 420 x 437 x 115 x 768 = 11784853785600

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.

727 : 1, 727

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

437 : 1, 19, 23, 437

115 : 1, 5, 23, 115

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 727,420,437,115,768, is 1.

Now, the common factors can be found like this.

727:727

420:2x 2x 3x 5x 7

437:19x 23

115:5x 23

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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 3x 5x 23 = 1380

Therefore, the value for common factors is 1380.

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 = 11784853785600/(1x1380)

LCM = 11784853785600/1380

LCM = 8539749120

Thus, we can understand that the LCM of 727,420,437,115,768 is 8539749120.

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

• LCM of 431, 552, 278, 309, 691
• LCM of 954, 686, 503, 619, 206
• LCM of 469, 467, 130, 999, 544
• LCM of 975, 742, 942, 871, 101
• LCM of 677, 208, 619, 444, 863

1. What is the LCM of 727, 420, 437, 115, 768?

Answer: LCM of 727, 420, 437, 115, 768 is 8539749120.

2. How to calculate the LCM of 727, 420, 437, 115, 768?

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 727, 420, 437, 115, 768.

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}.