Given numbers are 159,42,458

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

The LCM of 159,42,458 is 509754.

Find LCM of 159,42,458 with Prime Factorization

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

2 x 3 x 53 x 7 x 229 = 509754

Therefore, the lowest common multiple of 159,42,458 is 509754.

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.

159 x 42 x 458 = 3058524

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.

159 : 1, 3, 53, 159

42 : 1, 2, 3, 6, 7, 14, 21, 42

458 : 1, 2, 229, 458

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 159,42,458, is 1.

Now, the common factors can be found like this.

159:3x 53

42:2x 3x 7

458:2x 229

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 3058524/(1x6)

LCM = 3058524/6

LCM = 509754

Thus, we can understand that the LCM of 159,42,458 is 509754.

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

• LCM of 432, 12, 546
• LCM of 434, 33, 885
• LCM of 710, 67, 336
• LCM of 200, 91, 766
• LCM of 495, 40, 222

1. What is the LCM of 159, 42, 458?

Answer: LCM of 159, 42, 458 is 509754.

2. How to calculate the LCM of 159, 42, 458?

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 159, 42, 458.

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}.