Given numbers are 471,295,780,104,728

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

The LCM of 471,295,780,104,728 is 101151960.

Find LCM of 471,295,780,104,728 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 13 x 157 x 59 x 1 x 1 x 7 = 101151960

Therefore, the lowest common multiple of 471,295,780,104,728 is 101151960.

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.

471 x 295 x 780 x 104 x 728 = 8205446995200

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.

471 : 1, 3, 157, 471

295 : 1, 5, 59, 295

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,295,780,104,728, is 1.

Now, the common factors can be found like this.

471:3x 157

295:5x 59

780:2x 2x 3x 5x 13

104:2x 2x 2x 13

728:2x 2x 2x 7x 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 2x 2x 2x 3x 5x 13x 13 = 81120

Therefore, the value for common factors is 81120.

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 = 8205446995200/(1x81120)

LCM = 8205446995200/81120

LCM = 101151960

Thus, we can understand that the LCM of 471,295,780,104,728 is 101151960.

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

• LCM of 543, 819, 638, 619, 146
• LCM of 222, 107, 136, 546, 369
• LCM of 533, 307, 723, 824, 249
• LCM of 694, 496, 829, 371, 930
• LCM of 319, 601, 520, 543, 790

1. What is the LCM of 471, 295, 780, 104, 728?

Answer: LCM of 471, 295, 780, 104, 728 is 101151960.

2. How to calculate the LCM of 471, 295, 780, 104, 728?

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 471, 295, 780, 104, 728.

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}.