Given numbers are 858,255,735,531,304

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

The LCM of 858,255,735,531,304 is 96143327280.

Find LCM of 858,255,735,531,304 with Prime Factorization

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

2 x 3 x 5 x 143 x 17 x 49 x 177 x 152 = 96143327280

Therefore, the lowest common multiple of 858,255,735,531,304 is 96143327280.

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.

858 x 255 x 735 x 531 x 304 = 25958698365600

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.

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

255 : 1, 3, 5, 15, 17, 51, 85, 255

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

531 : 1, 3, 9, 59, 177, 531

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 858,255,735,531,304, is 1.

Now, the common factors can be found like this.

858:2x 3x 11x 13

255:3x 5x 17

735:3x 5x 7x 7

531:3x 3x 59

304:2x 2x 2x 2x 19

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 3x 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 25958698365600/(1x270)

LCM = 25958698365600/270

LCM = 96143327280

Thus, we can understand that the LCM of 858,255,735,531,304 is 96143327280.

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

• LCM of 453, 769, 437, 276, 554
• LCM of 835, 559, 542, 515, 798
• LCM of 839, 114, 292, 174, 690
• LCM of 217, 906, 123, 542, 506
• LCM of 153, 846, 426, 723, 648

1. What is the LCM of 858, 255, 735, 531, 304?

Answer: LCM of 858, 255, 735, 531, 304 is 96143327280.

2. How to calculate the LCM of 858, 255, 735, 531, 304?

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 858, 255, 735, 531, 304.

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}.