Given numbers are 726,743,743,319

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

The LCM of 726,743,743,319 is 15643122.

Find LCM of 726,743,743,319 with Prime Factorization

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

11 x 743 x 66 x 1 x 1 x 29 = 15643122

Therefore, the lowest common multiple of 726,743,743,319 is 15643122.

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.

726 x 743 x 743 x 319 = 127851236106

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

743 : 1, 743

743 : 1, 743

319 : 1, 11, 29, 319

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,743,743,319, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

743:743

743:743

319:11x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 743 = 8173

Therefore, the value for common factors is 8173.

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 = 127851236106/(1x8173)

LCM = 127851236106/8173

LCM = 15643122

Thus, we can understand that the LCM of 726,743,743,319 is 15643122.

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

• LCM of 979, 689, 255, 918
• LCM of 606, 420, 595, 808
• LCM of 597, 161, 106, 314
• LCM of 204, 821, 271, 976
• LCM of 216, 757, 709, 726

1. What is the LCM of 726, 743, 743, 319?

Answer: LCM of 726, 743, 743, 319 is 15643122.

2. How to calculate the LCM of 726, 743, 743, 319?

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 726, 743, 743, 319.

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}.