Given numbers are 626,208,450,643,514

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

The LCM of 626,208,450,643,514 is 2420662748400.

Find LCM of 626,208,450,643,514 with Prime Factorization

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

2 x 313 x 104 x 225 x 643 x 257 = 2420662748400

Therefore, the lowest common multiple of 626,208,450,643,514 is 2420662748400.

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.

626 x 208 x 450 x 643 x 514 = 19365301987200

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.

626 : 1, 2, 313, 626

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

643 : 1, 643

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,208,450,643,514, is 1.

Now, the common factors can be found like this.

626:2x 313

208:2x 2x 2x 2x 13

450:2x 3x 3x 5x 5

643:643

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 19365301987200/(1x8)

LCM = 19365301987200/8

LCM = 2420662748400

Thus, we can understand that the LCM of 626,208,450,643,514 is 2420662748400.

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

• LCM of 575, 376, 661, 592, 116
• LCM of 544, 335, 761, 509, 838
• LCM of 490, 442, 221, 353, 723
• LCM of 162, 578, 884, 479, 414
• LCM of 699, 606, 579, 514, 425

1. What is the LCM of 626, 208, 450, 643, 514?

Answer: LCM of 626, 208, 450, 643, 514 is 2420662748400.

2. How to calculate the LCM of 626, 208, 450, 643, 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 626, 208, 450, 643, 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}.