Given numbers are 241,900,102,272,884

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

The LCM of 241,900,102,272,884 is 191739600.

Find LCM of 241,900,102,272,884 with Prime Factorization

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

2 x 2 x 3 x 17 x 241 x 75 x 1 x 4 x 13 = 191739600

Therefore, the lowest common multiple of 241,900,102,272,884 is 191739600.

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 900 x 102 x 272 x 884 = 5319623462400

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

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

102 : 1, 2, 3, 6, 17, 34, 51, 102

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,900,102,272,884, is 1.

Now, the common factors can be found like this.

241:241

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

102:2x 3x 17

272:2x 2x 2x 2x 17

884:2x 2x 13x 17

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 3x 17x 17 = 27744

Therefore, the value for common factors is 27744.

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 = 5319623462400/(1x27744)

LCM = 5319623462400/27744

LCM = 191739600

Thus, we can understand that the LCM of 241,900,102,272,884 is 191739600.

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

• LCM of 972, 999, 390, 354, 217
• LCM of 826, 743, 391, 730, 870
• LCM of 134, 875, 323, 450, 643
• LCM of 779, 612, 919, 809, 643
• LCM of 187, 244, 169, 496, 801

1. What is the LCM of 241, 900, 102, 272, 884?

Answer: LCM of 241, 900, 102, 272, 884 is 191739600.

2. How to calculate the LCM of 241, 900, 102, 272, 884?

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, 900, 102, 272, 884.

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}.