Given numbers are 282,170,320,299,645

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

The LCM of 282,170,320,299,645 is 9861833280.

Find LCM of 282,170,320,299,645 with Prime Factorization

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

2 x 3 x 5 x 47 x 17 x 32 x 299 x 43 = 9861833280

Therefore, the lowest common multiple of 282,170,320,299,645 is 9861833280.

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 170 x 320 x 299 x 645 = 2958549984000

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

170 : 1, 2, 5, 10, 17, 34, 85, 170

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

299 : 1, 13, 23, 299

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,170,320,299,645, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

170:2x 5x 17

320:2x 2x 2x 2x 2x 2x 5

299:13x 23

645:3x 5x 43

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 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 2958549984000/(1x300)

LCM = 2958549984000/300

LCM = 9861833280

Thus, we can understand that the LCM of 282,170,320,299,645 is 9861833280.

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

• LCM of 608, 144, 904, 899, 398
• LCM of 437, 370, 628, 131, 581
• LCM of 238, 605, 180, 224, 817
• LCM of 990, 562, 111, 277, 683
• LCM of 845, 893, 537, 963, 939

1. What is the LCM of 282, 170, 320, 299, 645?

Answer: LCM of 282, 170, 320, 299, 645 is 9861833280.

2. How to calculate the LCM of 282, 170, 320, 299, 645?

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, 170, 320, 299, 645.

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}.