Given numbers are 326,579,390,108,182

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

The LCM of 326,579,390,108,182 is 1545895260.

Find LCM of 326,579,390,108,182 with Prime Factorization

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

2 x 3 x 13 x 163 x 193 x 5 x 18 x 7 = 1545895260

Therefore, the lowest common multiple of 326,579,390,108,182 is 1545895260.

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.

326 x 579 x 390 x 108 x 182 = 1446957963360

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.

326 : 1, 2, 163, 326

579 : 1, 3, 193, 579

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

182 : 1, 2, 7, 13, 14, 26, 91, 182

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,579,390,108,182, is 1.

Now, the common factors can be found like this.

326:2x 163

579:3x 193

390:2x 3x 5x 13

108:2x 2x 3x 3x 3

182:2x 7x 13

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 2x 3x 3x 13 = 936

Therefore, the value for common factors is 936.

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 = 1446957963360/(1x936)

LCM = 1446957963360/936

LCM = 1545895260

Thus, we can understand that the LCM of 326,579,390,108,182 is 1545895260.

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

• LCM of 658, 254, 341, 280, 917
• LCM of 596, 899, 693, 579, 901
• LCM of 871, 804, 901, 371, 630
• LCM of 898, 282, 822, 884, 700
• LCM of 735, 955, 436, 661, 164

1. What is the LCM of 326, 579, 390, 108, 182?

Answer: LCM of 326, 579, 390, 108, 182 is 1545895260.

2. How to calculate the LCM of 326, 579, 390, 108, 182?

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 326, 579, 390, 108, 182.

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}.