Given numbers are 305,272,247,579,741

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

The LCM of 305,272,247,579,741 is 11864358480.

Find LCM of 305,272,247,579,741 with Prime Factorization

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

3 x 13 x 19 x 305 x 272 x 1 x 193 x 1 = 11864358480

Therefore, the lowest common multiple of 305,272,247,579,741 is 11864358480.

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.

305 x 272 x 247 x 579 x 741 = 8791489633680

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.

305 : 1, 5, 61, 305

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

247 : 1, 13, 19, 247

579 : 1, 3, 193, 579

741 : 1, 3, 13, 19, 39, 57, 247, 741

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,272,247,579,741, is 1.

Now, the common factors can be found like this.

305:5x 61

272:2x 2x 2x 2x 17

247:13x 19

579:3x 193

741:3x 13x 19

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

3x 13x 19 = 741

Therefore, the value for common factors is 741.

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 = 8791489633680/(1x741)

LCM = 8791489633680/741

LCM = 11864358480

Thus, we can understand that the LCM of 305,272,247,579,741 is 11864358480.

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

• LCM of 855, 535, 942, 791, 937
• LCM of 131, 585, 100, 158, 763
• LCM of 952, 408, 200, 843, 290
• LCM of 822, 324, 138, 540, 308
• LCM of 138, 655, 673, 690, 278

1. What is the LCM of 305, 272, 247, 579, 741?

Answer: LCM of 305, 272, 247, 579, 741 is 11864358480.

2. How to calculate the LCM of 305, 272, 247, 579, 741?

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 305, 272, 247, 579, 741.

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}.