Given numbers are 578,354,364,878,338

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

The LCM of 578,354,364,878,338 is 106262582244.

Find LCM of 578,354,364,878,338 with Prime Factorization

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

2 x 13 x 289 x 177 x 14 x 439 x 13 = 106262582244

Therefore, the lowest common multiple of 578,354,364,878,338 is 106262582244.

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.

578 x 354 x 364 x 878 x 338 = 22102617106752

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.

578 : 1, 2, 17, 34, 289, 578

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

878 : 1, 2, 439, 878

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,354,364,878,338, is 2.

Now, the common factors can be found like this.

578:2x 17x 17

354:2x 3x 59

364:2x 2x 7x 13

878:2x 439

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 2x 2x 13 = 104

Therefore, the value for common factors is 104.

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 = 22102617106752/(2x104)

LCM = 22102617106752/208

LCM = 106262582244

Thus, we can understand that the LCM of 578,354,364,878,338 is 106262582244.

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

• LCM of 376, 103, 345, 419, 658
• LCM of 394, 947, 328, 753, 709
• LCM of 142, 778, 552, 890, 379
• LCM of 227, 309, 181, 934, 249
• LCM of 338, 840, 535, 789, 437

1. What is the LCM of 578, 354, 364, 878, 338?

Answer: LCM of 578, 354, 364, 878, 338 is 106262582244.

2. How to calculate the LCM of 578, 354, 364, 878, 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 578, 354, 364, 878, 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}.