Given numbers are 307,543,120,780

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

The LCM of 307,543,120,780 is 86684520.

Find LCM of 307,543,120,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 307 x 181 x 2 x 13 = 86684520

Therefore, the lowest common multiple of 307,543,120,780 is 86684520.

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.

307 x 543 x 120 x 780 = 15603213600

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.

307 : 1, 307

543 : 1, 3, 181, 543

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,543,120,780, is 1.

Now, the common factors can be found like this.

307:307

543:3x 181

120:2x 2x 2x 3x 5

780:2x 2x 3x 5x 13

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 15603213600/(1x180)

LCM = 15603213600/180

LCM = 86684520

Thus, we can understand that the LCM of 307,543,120,780 is 86684520.

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

• LCM of 799, 587, 649, 372
• LCM of 757, 103, 483, 141
• LCM of 906, 327, 532, 861
• LCM of 383, 895, 837, 628
• LCM of 588, 432, 960, 531

1. What is the LCM of 307, 543, 120, 780?

Answer: LCM of 307, 543, 120, 780 is 86684520.

2. How to calculate the LCM of 307, 543, 120, 780?

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 307, 543, 120, 780.

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}.