Given numbers are 278,377,304,245,362

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

The LCM of 278,377,304,245,362 is 706438554640.

Find LCM of 278,377,304,245,362 with Prime Factorization

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

2 x 139 x 377 x 152 x 245 x 181 = 706438554640

Therefore, the lowest common multiple of 278,377,304,245,362 is 706438554640.

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.

278 x 377 x 304 x 245 x 362 = 2825754218560

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.

278 : 1, 2, 139, 278

377 : 1, 13, 29, 377

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

245 : 1, 5, 7, 35, 49, 245

362 : 1, 2, 181, 362

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 278,377,304,245,362, is 1.

Now, the common factors can be found like this.

278:2x 139

377:13x 29

304:2x 2x 2x 2x 19

245:5x 7x 7

362:2x 181

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2825754218560/(1x4)

LCM = 2825754218560/4

LCM = 706438554640

Thus, we can understand that the LCM of 278,377,304,245,362 is 706438554640.

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

• LCM of 635, 906, 250, 487, 165
• LCM of 805, 885, 474, 237, 287
• LCM of 403, 455, 371, 589, 525
• LCM of 722, 634, 322, 217, 786
• LCM of 865, 917, 317, 210, 719

1. What is the LCM of 278, 377, 304, 245, 362?

Answer: LCM of 278, 377, 304, 245, 362 is 706438554640.

2. How to calculate the LCM of 278, 377, 304, 245, 362?

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 278, 377, 304, 245, 362.

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}.