Given numbers are 211,180,790,920,644

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

The LCM of 211,180,790,920,644 is 966135240.

Find LCM of 211,180,790,920,644 with Prime Factorization

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

2 x 2 x 5 x 23 x 211 x 9 x 79 x 2 x 7 = 966135240

Therefore, the lowest common multiple of 211,180,790,920,644 is 966135240.

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.

211 x 180 x 790 x 920 x 644 = 17776888416000

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.

211 : 1, 211

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

790 : 1, 2, 5, 10, 79, 158, 395, 790

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,180,790,920,644, is 1.

Now, the common factors can be found like this.

211:211

180:2x 2x 3x 3x 5

790:2x 5x 79

920:2x 2x 2x 5x 23

644:2x 2x 7x 23

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 5x 5x 23 = 18400

Therefore, the value for common factors is 18400.

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 = 17776888416000/(1x18400)

LCM = 17776888416000/18400

LCM = 966135240

Thus, we can understand that the LCM of 211,180,790,920,644 is 966135240.

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

• LCM of 814, 953, 191, 526, 148
• LCM of 424, 613, 863, 420, 769
• LCM of 983, 986, 985, 872, 647
• LCM of 507, 257, 709, 803, 105
• LCM of 563, 439, 314, 375, 597

1. What is the LCM of 211, 180, 790, 920, 644?

Answer: LCM of 211, 180, 790, 920, 644 is 966135240.

2. How to calculate the LCM of 211, 180, 790, 920, 644?

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 211, 180, 790, 920, 644.

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}.