Given numbers are 724,230,632,346,313

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

The LCM of 724,230,632,346,313 is 712334426920.

Find LCM of 724,230,632,346,313 with Prime Factorization

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

2 x 2 x 181 x 115 x 158 x 173 x 313 = 712334426920

Therefore, the lowest common multiple of 724,230,632,346,313 is 712334426920.

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.

724 x 230 x 632 x 346 x 313 = 11397350830720

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.

724 : 1, 2, 4, 181, 362, 724

230 : 1, 2, 5, 10, 23, 46, 115, 230

632 : 1, 2, 4, 8, 79, 158, 316, 632

346 : 1, 2, 173, 346

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 724,230,632,346,313, is 1.

Now, the common factors can be found like this.

724:2x 2x 181

230:2x 5x 23

632:2x 2x 2x 79

346:2x 173

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11397350830720/(1x16)

LCM = 11397350830720/16

LCM = 712334426920

Thus, we can understand that the LCM of 724,230,632,346,313 is 712334426920.

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

• LCM of 848, 434, 958, 636, 995
• LCM of 635, 248, 455, 376, 275
• LCM of 384, 997, 945, 183, 970
• LCM of 243, 249, 215, 192, 686
• LCM of 343, 968, 281, 825, 423

1. What is the LCM of 724, 230, 632, 346, 313?

Answer: LCM of 724, 230, 632, 346, 313 is 712334426920.

2. How to calculate the LCM of 724, 230, 632, 346, 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 724, 230, 632, 346, 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}.