Given numbers are 315,610,374,780

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

The LCM of 315,610,374,780 is 186846660.

Find LCM of 315,610,374,780 with Prime Factorization

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

2 x 3 x 5 x 21 x 61 x 187 x 26 = 186846660

Therefore, the lowest common multiple of 315,610,374,780 is 186846660.

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.

315 x 610 x 374 x 780 = 56053998000

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.

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

610 : 1, 2, 5, 10, 61, 122, 305, 610

374 : 1, 2, 11, 17, 22, 34, 187, 374

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 315,610,374,780, is 1.

Now, the common factors can be found like this.

315:3x 3x 5x 7

610:2x 5x 61

374:2x 11x 17

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 56053998000/(1x300)

LCM = 56053998000/300

LCM = 186846660

Thus, we can understand that the LCM of 315,610,374,780 is 186846660.

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

• LCM of 485, 246, 263, 905
• LCM of 960, 809, 342, 894
• LCM of 866, 168, 205, 312
• LCM of 106, 368, 866, 128
• LCM of 987, 471, 613, 858

1. What is the LCM of 315, 610, 374, 780?

Answer: LCM of 315, 610, 374, 780 is 186846660.

2. How to calculate the LCM of 315, 610, 374, 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 315, 610, 374, 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}.