Given numbers are 164,340,709,780,214

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

The LCM of 164,340,709,780,214 is 41243678580.

Find LCM of 164,340,709,780,214 with Prime Factorization

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

2 x 2 x 5 x 41 x 17 x 709 x 39 x 107 = 41243678580

Therefore, the lowest common multiple of 164,340,709,780,214 is 41243678580.

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 340 x 709 x 780 x 214 = 6598988572800

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

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

709 : 1, 709

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,340,709,780,214, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

340:2x 2x 5x 17

709:709

780:2x 2x 3x 5x 13

214:2x 107

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 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 6598988572800/(1x160)

LCM = 6598988572800/160

LCM = 41243678580

Thus, we can understand that the LCM of 164,340,709,780,214 is 41243678580.

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

• LCM of 370, 783, 120, 282, 642
• LCM of 266, 309, 684, 627, 296
• LCM of 247, 111, 781, 486, 719
• LCM of 575, 315, 913, 366, 714
• LCM of 933, 181, 721, 961, 930

1. What is the LCM of 164, 340, 709, 780, 214?

Answer: LCM of 164, 340, 709, 780, 214 is 41243678580.

2. How to calculate the LCM of 164, 340, 709, 780, 214?

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, 340, 709, 780, 214.

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}.