Given numbers are 384,739,306,440,252

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

The LCM of 384,739,306,440,252 is 5571941760.

Find LCM of 384,739,306,440,252 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 16 x 739 x 17 x 55 x 7 = 5571941760

Therefore, the lowest common multiple of 384,739,306,440,252 is 5571941760.

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.

384 x 739 x 306 x 440 x 252 = 9628315361280

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.

384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

739 : 1, 739

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,739,306,440,252, is 1.

Now, the common factors can be found like this.

384:2x 2x 2x 2x 2x 2x 2x 3

739:739

306:2x 3x 3x 17

440:2x 2x 2x 5x 11

252:2x 2x 3x 3x 7

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 2x 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 9628315361280/(1x1728)

LCM = 9628315361280/1728

LCM = 5571941760

Thus, we can understand that the LCM of 384,739,306,440,252 is 5571941760.

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

• LCM of 562, 981, 330, 188, 382
• LCM of 763, 382, 190, 284, 240
• LCM of 111, 737, 976, 956, 602
• LCM of 350, 973, 293, 667, 999
• LCM of 258, 794, 986, 942, 453

1. What is the LCM of 384, 739, 306, 440, 252?

Answer: LCM of 384, 739, 306, 440, 252 is 5571941760.

2. How to calculate the LCM of 384, 739, 306, 440, 252?

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 384, 739, 306, 440, 252.

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}.