Given numbers are 987,430,853,864,814

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

The LCM of 987,430,853,864,814 is 21217369551840.

Find LCM of 987,430,853,864,814 with Prime Factorization

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

2 x 3 x 329 x 215 x 853 x 144 x 407 = 21217369551840

Therefore, the lowest common multiple of 987,430,853,864,814 is 21217369551840.

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.

987 x 430 x 853 x 864 x 814 = 254608434622080

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.

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

430 : 1, 2, 5, 10, 43, 86, 215, 430

853 : 1, 853

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,430,853,864,814, is 1.

Now, the common factors can be found like this.

987:3x 7x 47

430:2x 5x 43

853:853

864:2x 2x 2x 2x 2x 3x 3x 3

814:2x 11x 37

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 3 = 12

Therefore, the value for common factors is 12.

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 = 254608434622080/(1x12)

LCM = 254608434622080/12

LCM = 21217369551840

Thus, we can understand that the LCM of 987,430,853,864,814 is 21217369551840.

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

• LCM of 449, 406, 208, 797, 176
• LCM of 892, 581, 211, 806, 382
• LCM of 582, 114, 410, 112, 792
• LCM of 190, 247, 951, 812, 700
• LCM of 346, 803, 412, 264, 876

1. What is the LCM of 987, 430, 853, 864, 814?

Answer: LCM of 987, 430, 853, 864, 814 is 21217369551840.

2. How to calculate the LCM of 987, 430, 853, 864, 814?

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 987, 430, 853, 864, 814.

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}.