Given numbers are 319,142,338

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

The LCM of 319,142,338 is 7655362.

Find LCM of 319,142,338 with Prime Factorization

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

2 x 319 x 71 x 169 = 7655362

Therefore, the lowest common multiple of 319,142,338 is 7655362.

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.

319 x 142 x 338 = 15310724

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.

319 : 1, 11, 29, 319

142 : 1, 2, 71, 142

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,142,338, is 1.

Now, the common factors can be found like this.

319:11x 29

142:2x 71

338:2x 13x 13

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 = 15310724/(1x2)

LCM = 15310724/2

LCM = 7655362

Thus, we can understand that the LCM of 319,142,338 is 7655362.

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

• LCM of 540, 534, 809
• LCM of 462, 831, 890
• LCM of 642, 631, 725
• LCM of 572, 196, 574
• LCM of 657, 219, 237

1. What is the LCM of 319, 142, 338?

Answer: LCM of 319, 142, 338 is 7655362.

2. How to calculate the LCM of 319, 142, 338?

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 319, 142, 338.

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}.