Given numbers are 241,243,208,291,310

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

The LCM of 241,243,208,291,310 is 183142898640.

Find LCM of 241,243,208,291,310 with Prime Factorization

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

2 x 3 x 241 x 81 x 104 x 97 x 155 = 183142898640

Therefore, the lowest common multiple of 241,243,208,291,310 is 183142898640.

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 243 x 208 x 291 x 310 = 1098857391840

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

243 : 1, 3, 9, 27, 81, 243

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

291 : 1, 3, 97, 291

310 : 1, 2, 5, 10, 31, 62, 155, 310

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,243,208,291,310, is 1.

Now, the common factors can be found like this.

241:241

243:3x 3x 3x 3x 3

208:2x 2x 2x 2x 13

291:3x 97

310:2x 5x 31

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 1098857391840/(1x6)

LCM = 1098857391840/6

LCM = 183142898640

Thus, we can understand that the LCM of 241,243,208,291,310 is 183142898640.

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

• LCM of 359, 743, 345, 527, 904
• LCM of 794, 242, 752, 411, 279
• LCM of 471, 492, 404, 513, 788
• LCM of 512, 892, 760, 451, 837
• LCM of 815, 398, 303, 212, 830

1. What is the LCM of 241, 243, 208, 291, 310?

Answer: LCM of 241, 243, 208, 291, 310 is 183142898640.

2. How to calculate the LCM of 241, 243, 208, 291, 310?

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, 243, 208, 291, 310.

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}.