Given numbers are 780,232,383,624,438

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

The LCM of 780,232,383,624,438 is 2529730320.

Find LCM of 780,232,383,624,438 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 5 x 29 x 383 x 2 x 73 = 2529730320

Therefore, the lowest common multiple of 780,232,383,624,438 is 2529730320.

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.

780 x 232 x 383 x 624 x 438 = 18942620636160

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.

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

232 : 1, 2, 4, 8, 29, 58, 116, 232

383 : 1, 383

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,232,383,624,438, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

232:2x 2x 2x 29

383:383

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

438:2x 3x 73

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 13 = 7488

Therefore, the value for common factors is 7488.

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 = 18942620636160/(1x7488)

LCM = 18942620636160/7488

LCM = 2529730320

Thus, we can understand that the LCM of 780,232,383,624,438 is 2529730320.

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

• LCM of 863, 589, 588, 816, 859
• LCM of 620, 649, 381, 887, 481
• LCM of 670, 292, 561, 702, 646
• LCM of 211, 265, 405, 501, 104
• LCM of 278, 833, 139, 375, 494

1. What is the LCM of 780, 232, 383, 624, 438?

Answer: LCM of 780, 232, 383, 624, 438 is 2529730320.

2. How to calculate the LCM of 780, 232, 383, 624, 438?

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 780, 232, 383, 624, 438.

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}.