Given numbers are 251,104,361,326,760

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

The LCM of 251,104,361,326,760 is 7680188360.

Find LCM of 251,104,361,326,760 with Prime Factorization

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

2 x 2 x 2 x 19 x 251 x 13 x 19 x 163 x 5 = 7680188360

Therefore, the lowest common multiple of 251,104,361,326,760 is 7680188360.

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.

251 x 104 x 361 x 326 x 760 = 2334777261440

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.

251 : 1, 251

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

361 : 1, 19, 361

326 : 1, 2, 163, 326

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,104,361,326,760, is 1.

Now, the common factors can be found like this.

251:251

104:2x 2x 2x 13

361:19x 19

326:2x 163

760:2x 2x 2x 5x 19

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 19 = 304

Therefore, the value for common factors is 304.

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 = 2334777261440/(1x304)

LCM = 2334777261440/304

LCM = 7680188360

Thus, we can understand that the LCM of 251,104,361,326,760 is 7680188360.

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

• LCM of 868, 142, 665, 422, 382
• LCM of 554, 976, 304, 209, 957
• LCM of 137, 190, 196, 155, 544
• LCM of 891, 459, 955, 976, 850
• LCM of 734, 970, 410, 813, 249

1. What is the LCM of 251, 104, 361, 326, 760?

Answer: LCM of 251, 104, 361, 326, 760 is 7680188360.

2. How to calculate the LCM of 251, 104, 361, 326, 760?

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 251, 104, 361, 326, 760.

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}.