Given numbers are 698,248,442,208,319

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

The LCM of 698,248,442,208,319 is 12203658896.

Find LCM of 698,248,442,208,319 with Prime Factorization

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

2 x 2 x 2 x 13 x 349 x 31 x 17 x 2 x 319 = 12203658896

Therefore, the lowest common multiple of 698,248,442,208,319 is 12203658896.

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.

698 x 248 x 442 x 208 x 319 = 5076722100736

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.

698 : 1, 2, 349, 698

248 : 1, 2, 4, 8, 31, 62, 124, 248

442 : 1, 2, 13, 17, 26, 34, 221, 442

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 698,248,442,208,319, is 1.

Now, the common factors can be found like this.

698:2x 349

248:2x 2x 2x 31

442:2x 13x 17

208:2x 2x 2x 2x 13

319:11x 29

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 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 5076722100736/(1x416)

LCM = 5076722100736/416

LCM = 12203658896

Thus, we can understand that the LCM of 698,248,442,208,319 is 12203658896.

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

• LCM of 337, 603, 380, 136, 871
• LCM of 682, 194, 251, 263, 505
• LCM of 273, 883, 993, 166, 718
• LCM of 921, 473, 819, 200, 289
• LCM of 418, 150, 671, 269, 507

1. What is the LCM of 698, 248, 442, 208, 319?

Answer: LCM of 698, 248, 442, 208, 319 is 12203658896.

2. How to calculate the LCM of 698, 248, 442, 208, 319?

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 698, 248, 442, 208, 319.

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}.