Given numbers are 282,612,682,734,469

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

The LCM of 282,612,682,734,469 is 1688272576452.

Find LCM of 282,612,682,734,469 with Prime Factorization

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

2 x 3 x 47 x 102 x 341 x 367 x 469 = 1688272576452

Therefore, the lowest common multiple of 282,612,682,734,469 is 1688272576452.

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 612 x 682 x 734 x 469 = 40518541834848

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

682 : 1, 2, 11, 22, 31, 62, 341, 682

734 : 1, 2, 367, 734

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 282,612,682,734,469, is 1.

Now, the common factors can be found like this.

282:2x 3x 47

612:2x 2x 3x 3x 17

682:2x 11x 31

734:2x 367

469:7x 67

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 3 = 24

Therefore, the value for common factors is 24.

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 = 40518541834848/(1x24)

LCM = 40518541834848/24

LCM = 1688272576452

Thus, we can understand that the LCM of 282,612,682,734,469 is 1688272576452.

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

• LCM of 555, 978, 233, 452, 604
• LCM of 724, 155, 417, 234, 941
• LCM of 803, 729, 306, 429, 229
• LCM of 328, 827, 144, 971, 600
• LCM of 514, 793, 257, 188, 236

1. What is the LCM of 282, 612, 682, 734, 469?

Answer: LCM of 282, 612, 682, 734, 469 is 1688272576452.

2. How to calculate the LCM of 282, 612, 682, 734, 469?

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, 612, 682, 734, 469.

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}.