Given numbers are 310,364,104,193,465

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

The LCM of 310,364,104,193,465 is 65334360.

Find LCM of 310,364,104,193,465 with Prime Factorization

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

2 x 2 x 5 x 13 x 31 x 1 x 7 x 2 x 193 x 3 = 65334360

Therefore, the lowest common multiple of 310,364,104,193,465 is 65334360.

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.

310 x 364 x 104 x 193 x 465 = 1053189883200

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

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

193 : 1, 193

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,364,104,193,465, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

364:2x 2x 7x 13

104:2x 2x 2x 13

193:193

465:3x 5x 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 5x 13x 31 = 16120

Therefore, the value for common factors is 16120.

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 = 1053189883200/(1x16120)

LCM = 1053189883200/16120

LCM = 65334360

Thus, we can understand that the LCM of 310,364,104,193,465 is 65334360.

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

• LCM of 999, 441, 930, 944, 378
• LCM of 441, 659, 718, 643, 490
• LCM of 801, 970, 371, 923, 450
• LCM of 659, 156, 247, 635, 582
• LCM of 568, 863, 282, 226, 533

1. What is the LCM of 310, 364, 104, 193, 465?

Answer: LCM of 310, 364, 104, 193, 465 is 65334360.

2. How to calculate the LCM of 310, 364, 104, 193, 465?

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 310, 364, 104, 193, 465.

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}.