Given numbers are 780,751,668,972,414

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

The LCM of 780,751,668,972,414 is 182248459380.

Find LCM of 780,751,668,972,414 with Prime Factorization

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

2 x 2 x 3 x 3 x 65 x 751 x 167 x 27 x 23 = 182248459380

Therefore, the lowest common multiple of 780,751,668,972,414 is 182248459380.

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 751 x 668 x 972 x 414 = 157462668904320

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

751 : 1, 751

668 : 1, 2, 4, 167, 334, 668

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,751,668,972,414, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

751:751

668:2x 2x 167

972:2x 2x 3x 3x 3x 3x 3

414:2x 3x 3x 23

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 2x 3x 3x 3 = 864

Therefore, the value for common factors is 864.

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 = 157462668904320/(1x864)

LCM = 157462668904320/864

LCM = 182248459380

Thus, we can understand that the LCM of 780,751,668,972,414 is 182248459380.

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

• LCM of 477, 695, 347, 120, 447
• LCM of 466, 410, 993, 334, 625
• LCM of 145, 766, 259, 645, 692
• LCM of 401, 271, 879, 496, 908
• LCM of 603, 584, 424, 236, 737

1. What is the LCM of 780, 751, 668, 972, 414?

Answer: LCM of 780, 751, 668, 972, 414 is 182248459380.

2. How to calculate the LCM of 780, 751, 668, 972, 414?

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, 751, 668, 972, 414.

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}.