Given numbers are 136,491,268,504,508

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

The LCM of 136,491,268,504,508 is 35796409992.

Find LCM of 136,491,268,504,508 with Prime Factorization

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

2 x 2 x 2 x 17 x 491 x 67 x 63 x 127 = 35796409992

Therefore, the lowest common multiple of 136,491,268,504,508 is 35796409992.

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.

136 x 491 x 268 x 504 x 508 = 4581940478976

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.

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

491 : 1, 491

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

508 : 1, 2, 4, 127, 254, 508

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 136,491,268,504,508, is 1.

Now, the common factors can be found like this.

136:2x 2x 2x 17

491:491

268:2x 2x 67

504:2x 2x 2x 3x 3x 7

508:2x 2x 127

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 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 4581940478976/(1x128)

LCM = 4581940478976/128

LCM = 35796409992

Thus, we can understand that the LCM of 136,491,268,504,508 is 35796409992.

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

• LCM of 698, 845, 790, 298, 699
• LCM of 912, 208, 643, 248, 948
• LCM of 577, 442, 443, 543, 550
• LCM of 359, 231, 662, 216, 730
• LCM of 843, 866, 433, 858, 589

1. What is the LCM of 136, 491, 268, 504, 508?

Answer: LCM of 136, 491, 268, 504, 508 is 35796409992.

2. How to calculate the LCM of 136, 491, 268, 504, 508?

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 136, 491, 268, 504, 508.

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}.