Given numbers are 810,956,216,434,987

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

The LCM of 810,956,216,434,987 is 7897697640.

Find LCM of 810,956,216,434,987 with Prime Factorization

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

2 x 2 x 3 x 3 x 3 x 7 x 15 x 239 x 2 x 31 x 47 = 7897697640

Therefore, the lowest common multiple of 810,956,216,434,987 is 7897697640.

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.

810 x 956 x 216 x 434 x 987 = 71647912990080

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.

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

956 : 1, 2, 4, 239, 478, 956

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

434 : 1, 2, 7, 14, 31, 62, 217, 434

987 : 1, 3, 7, 21, 47, 141, 329, 987

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,956,216,434,987, is 1.

Now, the common factors can be found like this.

810:2x 3x 3x 3x 3x 5

956:2x 2x 239

216:2x 2x 2x 3x 3x 3

434:2x 7x 31

987:3x 7x 47

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 3x 3x 3x 3x 7 = 9072

Therefore, the value for common factors is 9072.

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 = 71647912990080/(1x9072)

LCM = 71647912990080/9072

LCM = 7897697640

Thus, we can understand that the LCM of 810,956,216,434,987 is 7897697640.

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

• LCM of 285, 747, 528, 550, 658
• LCM of 777, 700, 155, 919, 212
• LCM of 145, 464, 127, 706, 898
• LCM of 646, 784, 954, 575, 929
• LCM of 179, 806, 285, 299, 842

1. What is the LCM of 810, 956, 216, 434, 987?

Answer: LCM of 810, 956, 216, 434, 987 is 7897697640.

2. How to calculate the LCM of 810, 956, 216, 434, 987?

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 810, 956, 216, 434, 987.

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}.