Given numbers are 54,41,82,284

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

The LCM of 54,41,82,284 is 314388.

Find LCM of 54,41,82,284 with Prime Factorization

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

2 x 41 x 27 x 1 x 1 x 142 = 314388

Therefore, the lowest common multiple of 54,41,82,284 is 314388.

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 41 x 82 x 284 = 51559632

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

41 : 1, 41

82 : 1, 2, 41, 82

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 54,41,82,284, is 1.

Now, the common factors can be found like this.

54:2x 3x 3x 3

41:41

82:2x 41

284:2x 2x 71

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 41 = 164

Therefore, the value for common factors is 164.

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 = 51559632/(1x164)

LCM = 51559632/164

LCM = 314388

Thus, we can understand that the LCM of 54,41,82,284 is 314388.

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

• LCM of 46, 79, 73, 740
• LCM of 67, 52, 52, 385
• LCM of 73, 23, 31, 828
• LCM of 83, 19, 47, 662
• LCM of 94, 81, 53, 362

1. What is the LCM of 54, 41, 82, 284?

Answer: LCM of 54, 41, 82, 284 is 314388.

2. How to calculate the LCM of 54, 41, 82, 284?

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, 41, 82, 284.

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}.