Given numbers are 392,698,563,198,506

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

The LCM of 392,698,563,198,506 is 175381152408.

Find LCM of 392,698,563,198,506 with Prime Factorization

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

2 x 11 x 196 x 349 x 563 x 9 x 23 = 175381152408

Therefore, the lowest common multiple of 392,698,563,198,506 is 175381152408.

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.

392 x 698 x 563 x 198 x 506 = 15433541411904

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

698 : 1, 2, 349, 698

563 : 1, 563

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,698,563,198,506, is 1.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

698:2x 349

563:563

198:2x 3x 3x 11

506:2x 11x 23

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 11 = 88

Therefore, the value for common factors is 88.

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 = 15433541411904/(1x88)

LCM = 15433541411904/88

LCM = 175381152408

Thus, we can understand that the LCM of 392,698,563,198,506 is 175381152408.

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

• LCM of 873, 947, 359, 140, 179
• LCM of 117, 407, 200, 974, 650
• LCM of 398, 511, 678, 976, 281
• LCM of 577, 963, 893, 935, 282
• LCM of 441, 869, 644, 981, 860

1. What is the LCM of 392, 698, 563, 198, 506?

Answer: LCM of 392, 698, 563, 198, 506 is 175381152408.

2. How to calculate the LCM of 392, 698, 563, 198, 506?

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 392, 698, 563, 198, 506.

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}.