Given numbers are 780,741,295,470,143

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

The LCM of 780,741,295,470,143 is 452054460.

Find LCM of 780,741,295,470,143 with Prime Factorization

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

2 x 3 x 5 x 13 x 2 x 19 x 59 x 47 x 11 = 452054460

Therefore, the lowest common multiple of 780,741,295,470,143 is 452054460.

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 741 x 295 x 470 x 143 = 11459580561000

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

741 : 1, 3, 13, 19, 39, 57, 247, 741

295 : 1, 5, 59, 295

470 : 1, 2, 5, 10, 47, 94, 235, 470

143 : 1, 11, 13, 143

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,741,295,470,143, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

741:3x 13x 19

295:5x 59

470:2x 5x 47

143:11x 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 3x 5x 5x 13x 13 = 25350

Therefore, the value for common factors is 25350.

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 = 11459580561000/(1x25350)

LCM = 11459580561000/25350

LCM = 452054460

Thus, we can understand that the LCM of 780,741,295,470,143 is 452054460.

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

• LCM of 338, 901, 577, 869, 463
• LCM of 376, 231, 886, 859, 967
• LCM of 987, 722, 495, 698, 159
• LCM of 428, 541, 264, 218, 237
• LCM of 749, 610, 814, 105, 597

1. What is the LCM of 780, 741, 295, 470, 143?

Answer: LCM of 780, 741, 295, 470, 143 is 452054460.

2. How to calculate the LCM of 780, 741, 295, 470, 143?

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, 741, 295, 470, 143.

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}.