Given numbers are 241,772,341,642,900

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

The LCM of 241,772,341,642,900 is 1527407847900.

Find LCM of 241,772,341,642,900 with Prime Factorization

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

2 x 2 x 3 x 241 x 193 x 341 x 107 x 75 = 1527407847900

Therefore, the lowest common multiple of 241,772,341,642,900 is 1527407847900.

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.

241 x 772 x 341 x 642 x 900 = 36657788349600

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.

241 : 1, 241

772 : 1, 2, 4, 193, 386, 772

341 : 1, 11, 31, 341

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

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,772,341,642,900, is 1.

Now, the common factors can be found like this.

241:241

772:2x 2x 193

341:11x 31

642:2x 3x 107

900:2x 2x 3x 3x 5x 5

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 3 = 24

Therefore, the value for common factors is 24.

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 = 36657788349600/(1x24)

LCM = 36657788349600/24

LCM = 1527407847900

Thus, we can understand that the LCM of 241,772,341,642,900 is 1527407847900.

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

• LCM of 502, 207, 839, 727, 752
• LCM of 458, 244, 573, 759, 377
• LCM of 123, 146, 323, 146, 712
• LCM of 945, 355, 872, 291, 219
• LCM of 838, 197, 753, 603, 632

1. What is the LCM of 241, 772, 341, 642, 900?

Answer: LCM of 241, 772, 341, 642, 900 is 1527407847900.

2. How to calculate the LCM of 241, 772, 341, 642, 900?

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 241, 772, 341, 642, 900.

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}.