Given numbers are 195,272,221,737,287

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

The LCM of 195,272,221,737,287 is 11218967760.

Find LCM of 195,272,221,737,287 with Prime Factorization

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

13 x 17 x 15 x 16 x 1 x 737 x 287 = 11218967760

Therefore, the lowest common multiple of 195,272,221,737,287 is 11218967760.

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.

195 x 272 x 221 x 737 x 287 = 2479391874960

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

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

221 : 1, 13, 17, 221

737 : 1, 11, 67, 737

287 : 1, 7, 41, 287

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,272,221,737,287, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

272:2x 2x 2x 2x 17

221:13x 17

737:11x 67

287:7x 41

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

13x 17 = 221

Therefore, the value for common factors is 221.

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 = 2479391874960/(1x221)

LCM = 2479391874960/221

LCM = 11218967760

Thus, we can understand that the LCM of 195,272,221,737,287 is 11218967760.

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

• LCM of 607, 566, 325, 308, 104
• LCM of 430, 881, 878, 443, 153
• LCM of 296, 315, 575, 212, 823
• LCM of 160, 886, 361, 231, 569
• LCM of 693, 561, 641, 804, 257

1. What is the LCM of 195, 272, 221, 737, 287?

Answer: LCM of 195, 272, 221, 737, 287 is 11218967760.

2. How to calculate the LCM of 195, 272, 221, 737, 287?

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 195, 272, 221, 737, 287.

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}.