Given numbers are 554,492,578,217,434

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

The LCM of 554,492,578,217,434 is 8546778492.

Find LCM of 554,492,578,217,434 with Prime Factorization

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

2 x 7 x 31 x 277 x 246 x 289 x 1 x 1 = 8546778492

Therefore, the lowest common multiple of 554,492,578,217,434 is 8546778492.

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.

554 x 492 x 578 x 217 x 434 = 14837207462112

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.

554 : 1, 2, 277, 554

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

578 : 1, 2, 17, 34, 289, 578

217 : 1, 7, 31, 217

434 : 1, 2, 7, 14, 31, 62, 217, 434

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,492,578,217,434, is 1.

Now, the common factors can be found like this.

554:2x 277

492:2x 2x 3x 41

578:2x 17x 17

217:7x 31

434:2x 7x 31

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 7x 31 = 1736

Therefore, the value for common factors is 1736.

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 = 14837207462112/(1x1736)

LCM = 14837207462112/1736

LCM = 8546778492

Thus, we can understand that the LCM of 554,492,578,217,434 is 8546778492.

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

• LCM of 637, 581, 571, 439, 560
• LCM of 536, 700, 605, 692, 180
• LCM of 661, 644, 326, 893, 241
• LCM of 648, 730, 301, 406, 329
• LCM of 863, 612, 441, 208, 699

1. What is the LCM of 554, 492, 578, 217, 434?

Answer: LCM of 554, 492, 578, 217, 434 is 8546778492.

2. How to calculate the LCM of 554, 492, 578, 217, 434?

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 554, 492, 578, 217, 434.

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}.