Given numbers are 282,709,990,299,984

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

The LCM of 282,709,990,299,984 is 1617686361720.

Find LCM of 282,709,990,299,984 with Prime Factorization

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

2 x 3 x 47 x 709 x 165 x 299 x 164 = 1617686361720

Therefore, the lowest common multiple of 282,709,990,299,984 is 1617686361720.

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 709 x 990 x 299 x 984 = 58236709021920

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

709 : 1, 709

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

299 : 1, 13, 23, 299

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,709,990,299,984, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

709:709

990:2x 3x 3x 5x 11

299:13x 23

984:2x 2x 2x 3x 41

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 3 = 36

Therefore, the value for common factors is 36.

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 = 58236709021920/(1x36)

LCM = 58236709021920/36

LCM = 1617686361720

Thus, we can understand that the LCM of 282,709,990,299,984 is 1617686361720.

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

• LCM of 909, 926, 694, 863, 389
• LCM of 971, 993, 521, 906, 477
• LCM of 546, 672, 529, 360, 948
• LCM of 461, 136, 505, 886, 258
• LCM of 406, 305, 496, 163, 485

1. What is the LCM of 282, 709, 990, 299, 984?

Answer: LCM of 282, 709, 990, 299, 984 is 1617686361720.

2. How to calculate the LCM of 282, 709, 990, 299, 984?

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, 709, 990, 299, 984.

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}.