Given numbers are 467,178,370,284

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

The LCM of 467,178,370,284 is 2183720020.

Find LCM of 467,178,370,284 with Prime Factorization

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

2 x 467 x 89 x 185 x 142 = 2183720020

Therefore, the lowest common multiple of 467,178,370,284 is 2183720020.

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.

467 x 178 x 370 x 284 = 8734880080

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.

467 : 1, 467

178 : 1, 2, 89, 178

370 : 1, 2, 5, 10, 37, 74, 185, 370

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 467,178,370,284, is 1.

Now, the common factors can be found like this.

467:467

178:2x 89

370:2x 5x 37

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 2 = 4

Therefore, the value for common factors is 4.

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 = 8734880080/(1x4)

LCM = 8734880080/4

LCM = 2183720020

Thus, we can understand that the LCM of 467,178,370,284 is 2183720020.

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

• LCM of 995, 981, 216, 406
• LCM of 813, 819, 500, 735
• LCM of 122, 394, 948, 209
• LCM of 635, 583, 857, 333
• LCM of 994, 317, 467, 631

1. What is the LCM of 467, 178, 370, 284?

Answer: LCM of 467, 178, 370, 284 is 2183720020.

2. How to calculate the LCM of 467, 178, 370, 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 467, 178, 370, 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}.