Given numbers are 617,574,716,722

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

The LCM of 617,574,716,722 is 45770671604.

Find LCM of 617,574,716,722 with Prime Factorization

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

2 x 617 x 287 x 358 x 361 = 45770671604

Therefore, the lowest common multiple of 617,574,716,722 is 45770671604.

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.

617 x 574 x 716 x 722 = 183082686416

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.

617 : 1, 617

574 : 1, 2, 7, 14, 41, 82, 287, 574

716 : 1, 2, 4, 179, 358, 716

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,574,716,722, is 1.

Now, the common factors can be found like this.

617:617

574:2x 7x 41

716:2x 2x 179

722:2x 19x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 183082686416/(1x4)

LCM = 183082686416/4

LCM = 45770671604

Thus, we can understand that the LCM of 617,574,716,722 is 45770671604.

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

• LCM of 141, 699, 802, 982
• LCM of 795, 723, 636, 646
• LCM of 861, 323, 745, 893
• LCM of 725, 764, 302, 574
• LCM of 453, 962, 228, 939

1. What is the LCM of 617, 574, 716, 722?

Answer: LCM of 617, 574, 716, 722 is 45770671604.

2. How to calculate the LCM of 617, 574, 716, 722?

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 617, 574, 716, 722.

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}.