Given numbers are 438,518,509,842

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

The LCM of 438,518,509,842 is 24309372738.

Find LCM of 438,518,509,842 with Prime Factorization

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

2 x 219 x 259 x 509 x 421 = 24309372738

Therefore, the lowest common multiple of 438,518,509,842 is 24309372738.

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.

438 x 518 x 509 x 842 = 97237490952

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.

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

509 : 1, 509

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,518,509,842, is 1.

Now, the common factors can be found like this.

438:2x 3x 73

518:2x 7x 37

509:509

842:2x 421

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 97237490952/(1x4)

LCM = 97237490952/4

LCM = 24309372738

Thus, we can understand that the LCM of 438,518,509,842 is 24309372738.

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

• LCM of 748, 116, 355, 788
• LCM of 126, 539, 894, 101
• LCM of 317, 937, 762, 687
• LCM of 853, 622, 483, 785
• LCM of 295, 481, 212, 686

1. What is the LCM of 438, 518, 509, 842?

Answer: LCM of 438, 518, 509, 842 is 24309372738.

2. How to calculate the LCM of 438, 518, 509, 842?

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 438, 518, 509, 842.

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}.