Given numbers are 789,584,449,930,381

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

The LCM of 789,584,449,930,381 is 4072598626440.

Find LCM of 789,584,449,930,381 with Prime Factorization

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

2 x 3 x 263 x 292 x 449 x 155 x 127 = 4072598626440

Therefore, the lowest common multiple of 789,584,449,930,381 is 4072598626440.

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.

789 x 584 x 449 x 930 x 381 = 73306775275920

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.

789 : 1, 3, 263, 789

584 : 1, 2, 4, 8, 73, 146, 292, 584

449 : 1, 449

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

381 : 1, 3, 127, 381

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,584,449,930,381, is 1.

Now, the common factors can be found like this.

789:3x 263

584:2x 2x 2x 73

449:449

930:2x 3x 5x 31

381:3x 127

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 73306775275920/(1x18)

LCM = 73306775275920/18

LCM = 4072598626440

Thus, we can understand that the LCM of 789,584,449,930,381 is 4072598626440.

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

• LCM of 311, 485, 924, 253, 196
• LCM of 706, 622, 340, 661, 530
• LCM of 891, 205, 100, 190, 722
• LCM of 926, 439, 858, 960, 575
• LCM of 161, 315, 779, 674, 747

1. What is the LCM of 789, 584, 449, 930, 381?

Answer: LCM of 789, 584, 449, 930, 381 is 4072598626440.

2. How to calculate the LCM of 789, 584, 449, 930, 381?

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 789, 584, 449, 930, 381.

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}.