Given numbers are 282,381,160,310,757

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

The LCM of 282,381,160,310,757 is 67235771040.

Find LCM of 282,381,160,310,757 with Prime Factorization

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

2 x 3 x 5 x 47 x 127 x 16 x 31 x 757 = 67235771040

Therefore, the lowest common multiple of 282,381,160,310,757 is 67235771040.

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.

282 x 381 x 160 x 310 x 757 = 4034146262400

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.

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

381 : 1, 3, 127, 381

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

310 : 1, 2, 5, 10, 31, 62, 155, 310

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,381,160,310,757, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

381:3x 127

160:2x 2x 2x 2x 2x 5

310:2x 5x 31

757:757

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 5 = 60

Therefore, the value for common factors is 60.

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 = 4034146262400/(1x60)

LCM = 4034146262400/60

LCM = 67235771040

Thus, we can understand that the LCM of 282,381,160,310,757 is 67235771040.

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

• LCM of 631, 683, 878, 663, 755
• LCM of 479, 387, 492, 715, 824
• LCM of 859, 272, 997, 922, 250
• LCM of 350, 599, 679, 792, 804
• LCM of 171, 824, 579, 583, 864

1. What is the LCM of 282, 381, 160, 310, 757?

Answer: LCM of 282, 381, 160, 310, 757 is 67235771040.

2. How to calculate the LCM of 282, 381, 160, 310, 757?

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 282, 381, 160, 310, 757.

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}.