Given numbers are 114,236,413,331,684

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

The LCM of 114,236,413,331,684 is 93504852.

Find LCM of 114,236,413,331,684 with Prime Factorization

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

2 x 2 x 3 x 19 x 59 x 1 x 1 x 7 x 331 x 3 = 93504852

Therefore, the lowest common multiple of 114,236,413,331,684 is 93504852.

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 236 x 413 x 331 x 684 = 2515654538208

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

236 : 1, 2, 4, 59, 118, 236

413 : 1, 7, 59, 413

331 : 1, 331

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,236,413,331,684, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

236:2x 2x 59

413:7x 59

331:331

684:2x 2x 3x 3x 19

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 3x 19x 59 = 26904

Therefore, the value for common factors is 26904.

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 = 2515654538208/(1x26904)

LCM = 2515654538208/26904

LCM = 93504852

Thus, we can understand that the LCM of 114,236,413,331,684 is 93504852.

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

• LCM of 456, 905, 403, 280, 169
• LCM of 451, 711, 843, 822, 196
• LCM of 275, 923, 556, 917, 899
• LCM of 758, 453, 745, 588, 375
• LCM of 208, 288, 538, 785, 674

1. What is the LCM of 114, 236, 413, 331, 684?

Answer: LCM of 114, 236, 413, 331, 684 is 93504852.

2. How to calculate the LCM of 114, 236, 413, 331, 684?

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, 236, 413, 331, 684.

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}.