Given numbers are 258,498,158,114,163

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

The LCM of 258,498,158,114,163 is 5239213482.

Find LCM of 258,498,158,114,163 with Prime Factorization

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

2 x 3 x 43 x 83 x 79 x 19 x 163 = 5239213482

Therefore, the lowest common multiple of 258,498,158,114,163 is 5239213482.

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.

258 x 498 x 158 x 114 x 163 = 377223370704

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

498 : 1, 2, 3, 6, 83, 166, 249, 498

158 : 1, 2, 79, 158

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

163 : 1, 163

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,498,158,114,163, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

498:2x 3x 83

158:2x 79

114:2x 3x 19

163:163

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 3 = 72

Therefore, the value for common factors is 72.

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 = 377223370704/(1x72)

LCM = 377223370704/72

LCM = 5239213482

Thus, we can understand that the LCM of 258,498,158,114,163 is 5239213482.

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

• LCM of 113, 500, 899, 123, 700
• LCM of 816, 656, 850, 852, 285
• LCM of 392, 448, 667, 781, 514
• LCM of 881, 329, 784, 521, 814
• LCM of 921, 461, 968, 679, 155

1. What is the LCM of 258, 498, 158, 114, 163?

Answer: LCM of 258, 498, 158, 114, 163 is 5239213482.

2. How to calculate the LCM of 258, 498, 158, 114, 163?

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 258, 498, 158, 114, 163.

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}.