Given numbers are 104,345,416,313

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

The LCM of 104,345,416,313 is 44921760.

Find LCM of 104,345,416,313 with Prime Factorization

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

2 x 2 x 2 x 13 x 1 x 345 x 4 x 313 = 44921760

Therefore, the lowest common multiple of 104,345,416,313 is 44921760.

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.

104 x 345 x 416 x 313 = 4671863040

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.

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,345,416,313, is 1.

Now, the common factors can be found like this.

104:2x 2x 2x 13

345:3x 5x 23

416:2x 2x 2x 2x 2x 13

313:313

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 13 = 104

Therefore, the value for common factors is 104.

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 = 4671863040/(1x104)

LCM = 4671863040/104

LCM = 44921760

Thus, we can understand that the LCM of 104,345,416,313 is 44921760.

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

• LCM of 146, 543, 531, 549
• LCM of 947, 113, 974, 192
• LCM of 865, 925, 147, 745
• LCM of 944, 648, 612, 381
• LCM of 350, 914, 851, 597

1. What is the LCM of 104, 345, 416, 313?

Answer: LCM of 104, 345, 416, 313 is 44921760.

2. How to calculate the LCM of 104, 345, 416, 313?

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 104, 345, 416, 313.

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}.