Given numbers are 164,360,316,829,323

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

The LCM of 164,360,316,829,323 is 312227032680.

Find LCM of 164,360,316,829,323 with Prime Factorization

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

2 x 2 x 41 x 90 x 79 x 829 x 323 = 312227032680

Therefore, the lowest common multiple of 164,360,316,829,323 is 312227032680.

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.

164 x 360 x 316 x 829 x 323 = 4995632522880

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.

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

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

316 : 1, 2, 4, 79, 158, 316

829 : 1, 829

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,360,316,829,323, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

360:2x 2x 2x 3x 3x 5

316:2x 2x 79

829:829

323:17x 19

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4995632522880/(1x16)

LCM = 4995632522880/16

LCM = 312227032680

Thus, we can understand that the LCM of 164,360,316,829,323 is 312227032680.

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

• LCM of 923, 855, 926, 627, 797
• LCM of 370, 897, 232, 988, 804
• LCM of 957, 897, 494, 535, 453
• LCM of 836, 112, 717, 472, 133
• LCM of 858, 979, 383, 374, 265

1. What is the LCM of 164, 360, 316, 829, 323?

Answer: LCM of 164, 360, 316, 829, 323 is 312227032680.

2. How to calculate the LCM of 164, 360, 316, 829, 323?

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 164, 360, 316, 829, 323.

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}.