Given numbers are 505,311,119,590,129

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

The LCM of 505,311,119,590,129 is 284492253990.

Find LCM of 505,311,119,590,129 with Prime Factorization

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

5 x 101 x 311 x 119 x 118 x 129 = 284492253990

Therefore, the lowest common multiple of 505,311,119,590,129 is 284492253990.

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.

505 x 311 x 119 x 590 x 129 = 1422461269950

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.

505 : 1, 5, 101, 505

311 : 1, 311

119 : 1, 7, 17, 119

590 : 1, 2, 5, 10, 59, 118, 295, 590

129 : 1, 3, 43, 129

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,311,119,590,129, is 1.

Now, the common factors can be found like this.

505:5x 101

311:311

119:7x 17

590:2x 5x 59

129:3x 43

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

5 = 5

Therefore, the value for common factors is 5.

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 = 1422461269950/(1x5)

LCM = 1422461269950/5

LCM = 284492253990

Thus, we can understand that the LCM of 505,311,119,590,129 is 284492253990.

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

• LCM of 485, 854, 744, 666, 323
• LCM of 608, 374, 989, 342, 230
• LCM of 654, 358, 371, 787, 402
• LCM of 436, 418, 598, 578, 177
• LCM of 553, 830, 482, 425, 463

1. What is the LCM of 505, 311, 119, 590, 129?

Answer: LCM of 505, 311, 119, 590, 129 is 284492253990.

2. How to calculate the LCM of 505, 311, 119, 590, 129?

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 505, 311, 119, 590, 129.

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}.