Given numbers are 780,312,129,852

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

The LCM of 780,312,129,852 is 4762680.

Find LCM of 780,312,129,852 with Prime Factorization

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

2 x 2 x 3 x 13 x 5 x 2 x 43 x 71 = 4762680

Therefore, the lowest common multiple of 780,312,129,852 is 4762680.

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 312 x 129 x 852 = 26747210880

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

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

129 : 1, 3, 43, 129

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,312,129,852, is 3.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

312:2x 2x 2x 3x 13

129:3x 43

852:2x 2x 3x 71

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 13 = 1872

Therefore, the value for common factors is 1872.

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 = 26747210880/(3x1872)

LCM = 26747210880/5616

LCM = 4762680

Thus, we can understand that the LCM of 780,312,129,852 is 4762680.

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

• LCM of 670, 993, 526, 827
• LCM of 774, 970, 503, 207
• LCM of 309, 766, 846, 384
• LCM of 239, 250, 150, 463
• LCM of 752, 209, 559, 856

1. What is the LCM of 780, 312, 129, 852?

Answer: LCM of 780, 312, 129, 852 is 4762680.

2. How to calculate the LCM of 780, 312, 129, 852?

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, 312, 129, 852.

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}.