Given numbers are 374,307,468,270,624

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

The LCM of 374,307,468,270,624 is 1612044720.

Find LCM of 374,307,468,270,624 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 187 x 307 x 1 x 15 x 4 = 1612044720

Therefore, the lowest common multiple of 374,307,468,270,624 is 1612044720.

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.

374 x 307 x 468 x 270 x 624 = 9053243147520

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.

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

307 : 1, 307

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 374,307,468,270,624, is 1.

Now, the common factors can be found like this.

374:2x 11x 17

307:307

468:2x 2x 3x 3x 13

270:2x 3x 3x 3x 5

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

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 2x 2x 3x 3x 3x 13 = 5616

Therefore, the value for common factors is 5616.

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 = 9053243147520/(1x5616)

LCM = 9053243147520/5616

LCM = 1612044720

Thus, we can understand that the LCM of 374,307,468,270,624 is 1612044720.

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

• LCM of 820, 638, 891, 675, 747
• LCM of 844, 768, 703, 471, 722
• LCM of 559, 376, 947, 490, 675
• LCM of 205, 535, 538, 383, 862
• LCM of 242, 926, 448, 388, 393

1. What is the LCM of 374, 307, 468, 270, 624?

Answer: LCM of 374, 307, 468, 270, 624 is 1612044720.

2. How to calculate the LCM of 374, 307, 468, 270, 624?

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 374, 307, 468, 270, 624.

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}.