Given numbers are 538,187,184,414

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

The LCM of 538,187,184,414 is 83301768.

Find LCM of 538,187,184,414 with Prime Factorization

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

2 x 23 x 269 x 187 x 4 x 9 = 83301768

Therefore, the lowest common multiple of 538,187,184,414 is 83301768.

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.

538 x 187 x 184 x 414 = 7663762656

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.

538 : 1, 2, 269, 538

187 : 1, 11, 17, 187

184 : 1, 2, 4, 8, 23, 46, 92, 184

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,187,184,414, is 1.

Now, the common factors can be found like this.

538:2x 269

187:11x 17

184:2x 2x 2x 23

414:2x 3x 3x 23

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 23 = 92

Therefore, the value for common factors is 92.

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 = 7663762656/(1x92)

LCM = 7663762656/92

LCM = 83301768

Thus, we can understand that the LCM of 538,187,184,414 is 83301768.

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

• LCM of 757, 772, 699, 693
• LCM of 837, 321, 831, 628
• LCM of 984, 746, 225, 997
• LCM of 921, 628, 692, 727
• LCM of 587, 120, 198, 228

1. What is the LCM of 538, 187, 184, 414?

Answer: LCM of 538, 187, 184, 414 is 83301768.

2. How to calculate the LCM of 538, 187, 184, 414?

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 538, 187, 184, 414.

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}.