Given numbers are 807,390,792,838

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

The LCM of 807,390,792,838 is 5802362280.

Find LCM of 807,390,792,838 with Prime Factorization

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

2 x 3 x 269 x 65 x 132 x 419 = 5802362280

Therefore, the lowest common multiple of 807,390,792,838 is 5802362280.

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.

807 x 390 x 792 x 838 = 208885042080

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.

807 : 1, 3, 269, 807

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

838 : 1, 2, 419, 838

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,390,792,838, is 1.

Now, the common factors can be found like this.

807:3x 269

390:2x 3x 5x 13

792:2x 2x 2x 3x 3x 11

838:2x 419

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 3 = 36

Therefore, the value for common factors is 36.

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 = 208885042080/(1x36)

LCM = 208885042080/36

LCM = 5802362280

Thus, we can understand that the LCM of 807,390,792,838 is 5802362280.

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

• LCM of 854, 100, 735, 417
• LCM of 162, 935, 407, 367
• LCM of 834, 784, 918, 266
• LCM of 934, 112, 773, 956
• LCM of 513, 294, 953, 187

1. What is the LCM of 807, 390, 792, 838?

Answer: LCM of 807, 390, 792, 838 is 5802362280.

2. How to calculate the LCM of 807, 390, 792, 838?

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 807, 390, 792, 838.

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}.