Given numbers are 734,704,745,283,313

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

The LCM of 734,704,745,283,313 is 17050054408640.

Find LCM of 734,704,745,283,313 with Prime Factorization

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

2 x 367 x 352 x 745 x 283 x 313 = 17050054408640

Therefore, the lowest common multiple of 734,704,745,283,313 is 17050054408640.

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.

734 x 704 x 745 x 283 x 313 = 34100108817280

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.

734 : 1, 2, 367, 734

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

745 : 1, 5, 149, 745

283 : 1, 283

313 : 1, 313

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 734,704,745,283,313, is 1.

Now, the common factors can be found like this.

734:2x 367

704:2x 2x 2x 2x 2x 2x 11

745:5x 149

283:283

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 34100108817280/(1x2)

LCM = 34100108817280/2

LCM = 17050054408640

Thus, we can understand that the LCM of 734,704,745,283,313 is 17050054408640.

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

• LCM of 217, 745, 221, 555, 676
• LCM of 641, 639, 561, 652, 593
• LCM of 206, 688, 645, 568, 333
• LCM of 778, 905, 953, 230, 715
• LCM of 315, 395, 745, 673, 372

1. What is the LCM of 734, 704, 745, 283, 313?

Answer: LCM of 734, 704, 745, 283, 313 is 17050054408640.

2. How to calculate the LCM of 734, 704, 745, 283, 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 734, 704, 745, 283, 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}.