Given numbers are 624,374,514

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

The LCM of 624,374,514 is 29988816.

Find LCM of 624,374,514 with Prime Factorization

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

2 x 312 x 187 x 257 = 29988816

Therefore, the lowest common multiple of 624,374,514 is 29988816.

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.

624 x 374 x 514 = 119955264

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.

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

374 : 1, 2, 11, 17, 22, 34, 187, 374

514 : 1, 2, 257, 514

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,374,514, is 2.

Now, the common factors can be found like this.

624:2x 2x 2x 2x 3x 13

374:2x 11x 17

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 119955264/(2x2)

LCM = 119955264/4

LCM = 29988816

Thus, we can understand that the LCM of 624,374,514 is 29988816.

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

• LCM of 435, 514, 277
• LCM of 750, 119, 977
• LCM of 373, 654, 149
• LCM of 758, 379, 945
• LCM of 365, 685, 272

1. What is the LCM of 624, 374, 514?

Answer: LCM of 624, 374, 514 is 29988816.

2. How to calculate the LCM of 624, 374, 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 624, 374, 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}.