Given numbers are 241,181,205,268,402

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

The LCM of 241,181,205,268,402 is 7189613220.

Find LCM of 241,181,205,268,402 with Prime Factorization

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

2 x 67 x 241 x 181 x 205 x 2 x 3 = 7189613220

Therefore, the lowest common multiple of 241,181,205,268,402 is 7189613220.

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 181 x 205 x 268 x 402 = 963408171480

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

181 : 1, 181

205 : 1, 5, 41, 205

268 : 1, 2, 4, 67, 134, 268

402 : 1, 2, 3, 6, 67, 134, 201, 402

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,181,205,268,402, is 1.

Now, the common factors can be found like this.

241:241

181:181

205:5x 41

268:2x 2x 67

402:2x 3x 67

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

2x 67 = 134

Therefore, the value for common factors is 134.

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 = 963408171480/(1x134)

LCM = 963408171480/134

LCM = 7189613220

Thus, we can understand that the LCM of 241,181,205,268,402 is 7189613220.

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

• LCM of 174, 113, 459, 446, 965
• LCM of 289, 527, 999, 892, 914
• LCM of 528, 560, 809, 680, 720
• LCM of 306, 456, 224, 597, 863
• LCM of 276, 520, 290, 670, 239

1. What is the LCM of 241, 181, 205, 268, 402?

Answer: LCM of 241, 181, 205, 268, 402 is 7189613220.

2. How to calculate the LCM of 241, 181, 205, 268, 402?

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, 181, 205, 268, 402.

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}.