Given numbers are 211,564,540,782,242

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

The LCM of 211,564,540,782,242 is 253358920980.

Find LCM of 211,564,540,782,242 with Prime Factorization

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

2 x 2 x 3 x 211 x 47 x 45 x 391 x 121 = 253358920980

Therefore, the lowest common multiple of 211,564,540,782,242 is 253358920980.

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 564 x 540 x 782 x 242 = 12161228207040

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

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

782 : 1, 2, 17, 23, 34, 46, 391, 782

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,564,540,782,242, is 1.

Now, the common factors can be found like this.

211:211

564:2x 2x 3x 47

540:2x 2x 3x 3x 3x 5

782:2x 17x 23

242:2x 11x 11

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 3 = 48

Therefore, the value for common factors is 48.

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 = 12161228207040/(1x48)

LCM = 12161228207040/48

LCM = 253358920980

Thus, we can understand that the LCM of 211,564,540,782,242 is 253358920980.

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

• LCM of 675, 799, 540, 282, 827
• LCM of 529, 931, 332, 365, 609
• LCM of 168, 355, 838, 308, 695
• LCM of 386, 825, 313, 538, 213
• LCM of 665, 997, 629, 425, 447

1. What is the LCM of 211, 564, 540, 782, 242?

Answer: LCM of 211, 564, 540, 782, 242 is 253358920980.

2. How to calculate the LCM of 211, 564, 540, 782, 242?

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, 564, 540, 782, 242.

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}.