Given numbers are 560,305,370,242,282

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

The LCM of 560,305,370,242,282 is 21563739120.

Find LCM of 560,305,370,242,282 with Prime Factorization

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

2 x 5 x 56 x 61 x 37 x 121 x 141 = 21563739120

Therefore, the lowest common multiple of 560,305,370,242,282 is 21563739120.

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.

560 x 305 x 370 x 242 x 282 = 4312747824000

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

305 : 1, 5, 61, 305

370 : 1, 2, 5, 10, 37, 74, 185, 370

242 : 1, 2, 11, 22, 121, 242

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 560,305,370,242,282, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

305:5x 61

370:2x 5x 37

242:2x 11x 11

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 4312747824000/(1x200)

LCM = 4312747824000/200

LCM = 21563739120

Thus, we can understand that the LCM of 560,305,370,242,282 is 21563739120.

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

• LCM of 590, 304, 806, 307, 479
• LCM of 821, 802, 233, 969, 852
• LCM of 371, 400, 260, 233, 698
• LCM of 537, 304, 512, 682, 761
• LCM of 828, 141, 485, 611, 943

1. What is the LCM of 560, 305, 370, 242, 282?

Answer: LCM of 560, 305, 370, 242, 282 is 21563739120.

2. How to calculate the LCM of 560, 305, 370, 242, 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 560, 305, 370, 242, 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}.