Given numbers are 508,46,114

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

The LCM of 508,46,114 is 665988.

Find LCM of 508,46,114 with Prime Factorization

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

2 x 254 x 23 x 57 = 665988

Therefore, the lowest common multiple of 508,46,114 is 665988.

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.

508 x 46 x 114 = 2663952

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.

508 : 1, 2, 4, 127, 254, 508

46 : 1, 2, 23, 46

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,46,114, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

46:2x 23

114:2x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 2663952/(2x2)

LCM = 2663952/4

LCM = 665988

Thus, we can understand that the LCM of 508,46,114 is 665988.

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

• LCM of 144, 40, 170
• LCM of 346, 25, 299
• LCM of 308, 30, 744
• LCM of 376, 41, 929
• LCM of 239, 96, 459

1. What is the LCM of 508, 46, 114?

Answer: LCM of 508, 46, 114 is 665988.

2. How to calculate the LCM of 508, 46, 114?

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 508, 46, 114.

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}.