Given numbers are 448,759,183,338

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

The LCM of 448,759,183,338 is 3505389888.

Find LCM of 448,759,183,338 with Prime Factorization

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

2 x 3 x 224 x 253 x 61 x 169 = 3505389888

Therefore, the lowest common multiple of 448,759,183,338 is 3505389888.

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.

448 x 759 x 183 x 338 = 21032339328

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.

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

759 : 1, 3, 11, 23, 33, 69, 253, 759

183 : 1, 3, 61, 183

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,759,183,338, is 1.

Now, the common factors can be found like this.

448:2x 2x 2x 2x 2x 2x 7

759:3x 11x 23

183:3x 61

338:2x 13x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 21032339328/(1x6)

LCM = 21032339328/6

LCM = 3505389888

Thus, we can understand that the LCM of 448,759,183,338 is 3505389888.

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

• LCM of 218, 424, 998, 495
• LCM of 704, 376, 259, 546
• LCM of 682, 575, 383, 466
• LCM of 886, 800, 384, 525
• LCM of 763, 394, 924, 222

1. What is the LCM of 448, 759, 183, 338?

Answer: LCM of 448, 759, 183, 338 is 3505389888.

2. How to calculate the LCM of 448, 759, 183, 338?

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 448, 759, 183, 338.

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}.