Given numbers are 306,770,272,241,191

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

The LCM of 306,770,272,241,191 is 43383296880.

Find LCM of 306,770,272,241,191 with Prime Factorization

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

2 x 17 x 9 x 385 x 8 x 241 x 191 = 43383296880

Therefore, the lowest common multiple of 306,770,272,241,191 is 43383296880.

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.

306 x 770 x 272 x 241 x 191 = 2950064187840

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.

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

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

241 : 1, 241

191 : 1, 191

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,770,272,241,191, is 1.

Now, the common factors can be found like this.

306:2x 3x 3x 17

770:2x 5x 7x 11

272:2x 2x 2x 2x 17

241:241

191:191

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 17 = 68

Therefore, the value for common factors is 68.

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 = 2950064187840/(1x68)

LCM = 2950064187840/68

LCM = 43383296880

Thus, we can understand that the LCM of 306,770,272,241,191 is 43383296880.

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

• LCM of 287, 118, 429, 562, 590
• LCM of 264, 820, 140, 275, 524
• LCM of 951, 828, 345, 933, 965
• LCM of 987, 874, 911, 669, 629
• LCM of 197, 366, 650, 140, 841

1. What is the LCM of 306, 770, 272, 241, 191?

Answer: LCM of 306, 770, 272, 241, 191 is 43383296880.

2. How to calculate the LCM of 306, 770, 272, 241, 191?

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 306, 770, 272, 241, 191.

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}.