Given numbers are 736,713,596,444

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

The LCM of 736,713,596,444 is 377353824.

Find LCM of 736,713,596,444 with Prime Factorization

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

2 x 2 x 23 x 8 x 31 x 149 x 111 = 377353824

Therefore, the lowest common multiple of 736,713,596,444 is 377353824.

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.

736 x 713 x 596 x 444 = 138866207232

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.

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

713 : 1, 23, 31, 713

596 : 1, 2, 4, 149, 298, 596

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,713,596,444, is 1.

Now, the common factors can be found like this.

736:2x 2x 2x 2x 2x 23

713:23x 31

596:2x 2x 149

444:2x 2x 3x 37

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 2x 23 = 368

Therefore, the value for common factors is 368.

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 = 138866207232/(1x368)

LCM = 138866207232/368

LCM = 377353824

Thus, we can understand that the LCM of 736,713,596,444 is 377353824.

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

• LCM of 298, 469, 665, 853
• LCM of 920, 221, 781, 966
• LCM of 473, 264, 143, 741
• LCM of 914, 180, 234, 900
• LCM of 264, 680, 671, 342

1. What is the LCM of 736, 713, 596, 444?

Answer: LCM of 736, 713, 596, 444 is 377353824.

2. How to calculate the LCM of 736, 713, 596, 444?

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 736, 713, 596, 444.

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}.