Given numbers are 338,493,966

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

The LCM of 338,493,966 is 80484222.

Find LCM of 338,493,966 with Prime Factorization

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

2 x 169 x 493 x 483 = 80484222

Therefore, the lowest common multiple of 338,493,966 is 80484222.

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.

338 x 493 x 966 = 160968444

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.

338 : 1, 2, 13, 26, 169, 338

493 : 1, 17, 29, 493

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,493,966, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

493:17x 29

966:2x 3x 7x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 160968444/(1x2)

LCM = 160968444/2

LCM = 80484222

Thus, we can understand that the LCM of 338,493,966 is 80484222.

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

• LCM of 415, 555, 508
• LCM of 314, 339, 342
• LCM of 965, 777, 803
• LCM of 254, 171, 830
• LCM of 869, 718, 391

1. What is the LCM of 338, 493, 966?

Answer: LCM of 338, 493, 966 is 80484222.

2. How to calculate the LCM of 338, 493, 966?

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 338, 493, 966.

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}.