Given numbers are 982,942,106,864,282

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

The LCM of 982,942,106,864,282 is 165908491488.

Find LCM of 982,942,106,864,282 with Prime Factorization

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

2 x 3 x 491 x 157 x 53 x 144 x 47 = 165908491488

Therefore, the lowest common multiple of 982,942,106,864,282 is 165908491488.

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.

982 x 942 x 106 x 864 x 282 = 23890822774272

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.

982 : 1, 2, 491, 982

942 : 1, 2, 3, 6, 157, 314, 471, 942

106 : 1, 2, 53, 106

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

282 : 1, 2, 3, 6, 47, 94, 141, 282

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 982,942,106,864,282, is 2.

Now, the common factors can be found like this.

982:2x 491

942:2x 3x 157

106:2x 53

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

282:2x 3x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 23890822774272/(2x72)

LCM = 23890822774272/144

LCM = 165908491488

Thus, we can understand that the LCM of 982,942,106,864,282 is 165908491488.

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

• LCM of 166, 483, 178, 745, 286
• LCM of 108, 631, 277, 849, 706
• LCM of 505, 219, 195, 212, 614
• LCM of 230, 836, 131, 555, 604
• LCM of 929, 945, 632, 421, 618

1. What is the LCM of 982, 942, 106, 864, 282?

Answer: LCM of 982, 942, 106, 864, 282 is 165908491488.

2. How to calculate the LCM of 982, 942, 106, 864, 282?

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 982, 942, 106, 864, 282.

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}.