Given numbers are 722,293,361

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

The LCM of 722,293,361 is 211546.

Find LCM of 722,293,361 with Prime Factorization

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

19 x 19 x 2 x 293 x 1 = 211546

Therefore, the lowest common multiple of 722,293,361 is 211546.

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.

722 x 293 x 361 = 76368106

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.

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

293 : 1, 293

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 722,293,361, is 1.

Now, the common factors can be found like this.

722:2x 19x 19

293:293

361:19x 19

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

19x 19 = 361

Therefore, the value for common factors is 361.

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 = 76368106/(1x361)

LCM = 76368106/361

LCM = 211546

Thus, we can understand that the LCM of 722,293,361 is 211546.

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

• LCM of 608, 409, 413
• LCM of 971, 172, 671
• LCM of 749, 935, 760
• LCM of 267, 125, 367
• LCM of 924, 469, 173

1. What is the LCM of 722, 293, 361?

Answer: LCM of 722, 293, 361 is 211546.

2. How to calculate the LCM of 722, 293, 361?

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 722, 293, 361.

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}.