Given numbers are 211,420,783,642,689

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

The LCM of 211,420,783,642,689 is 1705199719860.

Find LCM of 211,420,783,642,689 with Prime Factorization

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

2 x 3 x 211 x 70 x 261 x 107 x 689 = 1705199719860

Therefore, the lowest common multiple of 211,420,783,642,689 is 1705199719860.

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 420 x 783 x 642 x 689 = 30693594957480

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

783 : 1, 3, 9, 27, 29, 87, 261, 783

642 : 1, 2, 3, 6, 107, 214, 321, 642

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,420,783,642,689, is 1.

Now, the common factors can be found like this.

211:211

420:2x 2x 3x 5x 7

783:3x 3x 3x 29

642:2x 3x 107

689:13x 53

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 30693594957480/(1x18)

LCM = 30693594957480/18

LCM = 1705199719860

Thus, we can understand that the LCM of 211,420,783,642,689 is 1705199719860.

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

• LCM of 127, 448, 669, 317, 362
• LCM of 403, 409, 860, 644, 758
• LCM of 346, 932, 256, 254, 562
• LCM of 126, 361, 794, 836, 187
• LCM of 342, 221, 672, 564, 104

1. What is the LCM of 211, 420, 783, 642, 689?

Answer: LCM of 211, 420, 783, 642, 689 is 1705199719860.

2. How to calculate the LCM of 211, 420, 783, 642, 689?

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, 420, 783, 642, 689.

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}.