Given numbers are 493,558,121,204

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

The LCM of 493,558,121,204 is 66572748.

Find LCM of 493,558,121,204 with Prime Factorization

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

2 x 3 x 17 x 29 x 93 x 121 x 2 = 66572748

Therefore, the lowest common multiple of 493,558,121,204 is 66572748.

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.

493 x 558 x 121 x 204 = 6790420296

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.

493 : 1, 17, 29, 493

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

121 : 1, 11, 121

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,558,121,204, is 1.

Now, the common factors can be found like this.

493:17x 29

558:2x 3x 3x 31

121:11x 11

204:2x 2x 3x 17

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 6790420296/(1x102)

LCM = 6790420296/102

LCM = 66572748

Thus, we can understand that the LCM of 493,558,121,204 is 66572748.

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

• LCM of 888, 772, 437, 225
• LCM of 883, 694, 654, 504
• LCM of 109, 809, 895, 156
• LCM of 291, 947, 785, 322
• LCM of 206, 675, 493, 663

1. What is the LCM of 493, 558, 121, 204?

Answer: LCM of 493, 558, 121, 204 is 66572748.

2. How to calculate the LCM of 493, 558, 121, 204?

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 493, 558, 121, 204.

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}.