Given numbers are 138,249,219,470,328

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

The LCM of 138,249,219,470,328 is 32224912680.

Find LCM of 138,249,219,470,328 with Prime Factorization

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

2 x 3 x 23 x 83 x 73 x 235 x 164 = 32224912680

Therefore, the lowest common multiple of 138,249,219,470,328 is 32224912680.

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.

138 x 249 x 219 x 470 x 328 = 1160096856480

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

249 : 1, 3, 83, 249

219 : 1, 3, 73, 219

470 : 1, 2, 5, 10, 47, 94, 235, 470

328 : 1, 2, 4, 8, 41, 82, 164, 328

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,249,219,470,328, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

249:3x 83

219:3x 73

470:2x 5x 47

328:2x 2x 2x 41

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

2x 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 1160096856480/(1x36)

LCM = 1160096856480/36

LCM = 32224912680

Thus, we can understand that the LCM of 138,249,219,470,328 is 32224912680.

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

• LCM of 598, 768, 291, 539, 899
• LCM of 413, 867, 664, 372, 312
• LCM of 365, 242, 122, 517, 585
• LCM of 630, 353, 170, 635, 106
• LCM of 111, 165, 211, 954, 469

1. What is the LCM of 138, 249, 219, 470, 328?

Answer: LCM of 138, 249, 219, 470, 328 is 32224912680.

2. How to calculate the LCM of 138, 249, 219, 470, 328?

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 138, 249, 219, 470, 328.

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}.