Given numbers are 438,398,608,514

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

The LCM of 438,398,608,514 is 6809792736.

Find LCM of 438,398,608,514 with Prime Factorization

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

2 x 219 x 199 x 304 x 257 = 6809792736

Therefore, the lowest common multiple of 438,398,608,514 is 6809792736.

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 398 x 608 x 514 = 54478341888

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

398 : 1, 2, 199, 398

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 438,398,608,514, is 2.

Now, the common factors can be found like this.

438:2x 3x 73

398:2x 199

608:2x 2x 2x 2x 2x 19

514:2x 257

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 = 54478341888/(2x4)

LCM = 54478341888/8

LCM = 6809792736

Thus, we can understand that the LCM of 438,398,608,514 is 6809792736.

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

• LCM of 527, 812, 648, 428
• LCM of 534, 558, 160, 685
• LCM of 791, 373, 527, 197
• LCM of 495, 974, 355, 220
• LCM of 699, 705, 424, 634

1. What is the LCM of 438, 398, 608, 514?

Answer: LCM of 438, 398, 608, 514 is 6809792736.

2. How to calculate the LCM of 438, 398, 608, 514?

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, 398, 608, 514.

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}.