Given numbers are 945,706,129,408,282

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

The LCM of 945,706,129,408,282 is 91687838760.

Find LCM of 945,706,129,408,282 with Prime Factorization

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

2 x 3 x 315 x 353 x 43 x 68 x 47 = 91687838760

Therefore, the lowest common multiple of 945,706,129,408,282 is 91687838760.

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.

945 x 706 x 129 x 408 x 282 = 9902286586080

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.

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

706 : 1, 2, 353, 706

129 : 1, 3, 43, 129

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,706,129,408,282, is 1.

Now, the common factors can be found like this.

945:3x 3x 3x 5x 7

706:2x 353

129:3x 43

408:2x 2x 2x 3x 17

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 3x 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 9902286586080/(1x108)

LCM = 9902286586080/108

LCM = 91687838760

Thus, we can understand that the LCM of 945,706,129,408,282 is 91687838760.

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

• LCM of 625, 703, 269, 254, 836
• LCM of 997, 394, 842, 214, 963
• LCM of 180, 946, 477, 766, 466
• LCM of 415, 508, 775, 543, 842
• LCM of 853, 962, 980, 369, 584

1. What is the LCM of 945, 706, 129, 408, 282?

Answer: LCM of 945, 706, 129, 408, 282 is 91687838760.

2. How to calculate the LCM of 945, 706, 129, 408, 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 945, 706, 129, 408, 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}.