Given numbers are 248,361,284,354

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

The LCM of 248,361,284,354 is 1125098376.

Find LCM of 248,361,284,354 with Prime Factorization

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

2 x 2 x 62 x 361 x 71 x 177 = 1125098376

Therefore, the lowest common multiple of 248,361,284,354 is 1125098376.

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.

248 x 361 x 284 x 354 = 9000787008

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.

248 : 1, 2, 4, 8, 31, 62, 124, 248

361 : 1, 19, 361

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

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,361,284,354, is 1.

Now, the common factors can be found like this.

248:2x 2x 2x 31

361:19x 19

284:2x 2x 71

354:2x 3x 59

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 2 = 8

Therefore, the value for common factors is 8.

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 = 9000787008/(1x8)

LCM = 9000787008/8

LCM = 1125098376

Thus, we can understand that the LCM of 248,361,284,354 is 1125098376.

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

• LCM of 221, 495, 642, 588
• LCM of 566, 802, 953, 873
• LCM of 922, 402, 387, 332
• LCM of 802, 597, 834, 248
• LCM of 820, 762, 442, 131

1. What is the LCM of 248, 361, 284, 354?

Answer: LCM of 248, 361, 284, 354 is 1125098376.

2. How to calculate the LCM of 248, 361, 284, 354?

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 248, 361, 284, 354.

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}.