Given numbers are 54,55,314

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

The LCM of 54,55,314 is 466290.

Find LCM of 54,55,314 with Prime Factorization

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

2 x 27 x 55 x 157 = 466290

Therefore, the lowest common multiple of 54,55,314 is 466290.

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.

54 x 55 x 314 = 932580

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.

54 : 1, 2, 3, 6, 9, 18, 27, 54

55 : 1, 5, 11, 55

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 54,55,314, is 1.

Now, the common factors can be found like this.

54:2x 3x 3x 3

55:5x 11

314:2x 157

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 = 932580/(1x2)

LCM = 932580/2

LCM = 466290

Thus, we can understand that the LCM of 54,55,314 is 466290.

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

• LCM of 28, 95, 244
• LCM of 51, 42, 662
• LCM of 17, 31, 423
• LCM of 83, 62, 518
• LCM of 40, 65, 588

1. What is the LCM of 54, 55, 314?

Answer: LCM of 54, 55, 314 is 466290.

2. How to calculate the LCM of 54, 55, 314?

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 54, 55, 314.

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}.