Given numbers are 114,251,338,491

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

The LCM of 114,251,338,491 is 2374361106.

Find LCM of 114,251,338,491 with Prime Factorization

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

2 x 57 x 251 x 169 x 491 = 2374361106

Therefore, the lowest common multiple of 114,251,338,491 is 2374361106.

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.

114 x 251 x 338 x 491 = 4748722212

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

251 : 1, 251

338 : 1, 2, 13, 26, 169, 338

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,251,338,491, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

251:251

338:2x 13x 13

491:491

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

2 = 2

Therefore, the value for common factors is 2.

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 = 4748722212/(1x2)

LCM = 4748722212/2

LCM = 2374361106

Thus, we can understand that the LCM of 114,251,338,491 is 2374361106.

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

• LCM of 458, 709, 687, 355
• LCM of 669, 580, 961, 455
• LCM of 352, 639, 318, 904
• LCM of 653, 548, 684, 996
• LCM of 770, 556, 855, 222

1. What is the LCM of 114, 251, 338, 491?

Answer: LCM of 114, 251, 338, 491 is 2374361106.

2. How to calculate the LCM of 114, 251, 338, 491?

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 114, 251, 338, 491.

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}.