Given numbers are 780,120,390,829

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

The LCM of 780,120,390,829 is 1293240.

Find LCM of 780,120,390,829 with Prime Factorization

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

2 x 2 x 3 x 5 x 13 x 1 x 2 x 1 x 829 = 1293240

Therefore, the lowest common multiple of 780,120,390,829 is 1293240.

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 120 x 390 x 829 = 30261816000

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

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,120,390,829, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

120:2x 2x 2x 3x 5

390:2x 3x 5x 13

829:829

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 3x 3x 5x 5x 13 = 23400

Therefore, the value for common factors is 23400.

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 = 30261816000/(1x23400)

LCM = 30261816000/23400

LCM = 1293240

Thus, we can understand that the LCM of 780,120,390,829 is 1293240.

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

• LCM of 457, 354, 600, 899
• LCM of 922, 896, 996, 650
• LCM of 187, 373, 198, 871
• LCM of 522, 774, 605, 888
• LCM of 909, 814, 548, 301

1. What is the LCM of 780, 120, 390, 829?

Answer: LCM of 780, 120, 390, 829 is 1293240.

2. How to calculate the LCM of 780, 120, 390, 829?

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, 120, 390, 829.

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}.