Given numbers are 868,910,428,350,984

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

The LCM of 868,910,428,350,984 is 7425436200.

Find LCM of 868,910,428,350,984 with Prime Factorization

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

2 x 2 x 5 x 7 x 31 x 13 x 107 x 5 x 246 = 7425436200

Therefore, the lowest common multiple of 868,910,428,350,984 is 7425436200.

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.

868 x 910 x 428 x 350 x 984 = 116430839616000

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

428 : 1, 2, 4, 107, 214, 428

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,910,428,350,984, is 2.

Now, the common factors can be found like this.

868:2x 2x 7x 31

910:2x 5x 7x 13

428:2x 2x 107

350:2x 5x 5x 7

984:2x 2x 2x 3x 41

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 5x 7x 7 = 7840

Therefore, the value for common factors is 7840.

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 = 116430839616000/(2x7840)

LCM = 116430839616000/15680

LCM = 7425436200

Thus, we can understand that the LCM of 868,910,428,350,984 is 7425436200.

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

• LCM of 202, 352, 393, 156, 950
• LCM of 526, 508, 588, 839, 885
• LCM of 135, 745, 799, 123, 733
• LCM of 892, 167, 852, 791, 219
• LCM of 189, 918, 369, 829, 696

1. What is the LCM of 868, 910, 428, 350, 984?

Answer: LCM of 868, 910, 428, 350, 984 is 7425436200.

2. How to calculate the LCM of 868, 910, 428, 350, 984?

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 868, 910, 428, 350, 984.

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}.