Given numbers are 706,123,363

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

The LCM of 706,123,363 is 10507398.

Find LCM of 706,123,363 with Prime Factorization

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

3 x 706 x 41 x 121 = 10507398

Therefore, the lowest common multiple of 706,123,363 is 10507398.

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.

706 x 123 x 363 = 31522194

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.

706 : 1, 2, 353, 706

123 : 1, 3, 41, 123

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,123,363, is 1.

Now, the common factors can be found like this.

706:2x 353

123:3x 41

363:3x 11x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 31522194/(1x3)

LCM = 31522194/3

LCM = 10507398

Thus, we can understand that the LCM of 706,123,363 is 10507398.

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

• LCM of 755, 918, 719
• LCM of 996, 943, 721
• LCM of 845, 425, 274
• LCM of 196, 937, 529
• LCM of 525, 242, 322

1. What is the LCM of 706, 123, 363?

Answer: LCM of 706, 123, 363 is 10507398.

2. How to calculate the LCM of 706, 123, 363?

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 706, 123, 363.

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}.