Given numbers are 428,642,346,368,884

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

The LCM of 428,642,346,368,884 is 4516387824.

Find LCM of 428,642,346,368,884 with Prime Factorization

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

2 x 2 x 107 x 1 x 3 x 173 x 92 x 221 = 4516387824

Therefore, the lowest common multiple of 428,642,346,368,884 is 4516387824.

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.

428 x 642 x 346 x 368 x 884 = 30928223818752

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.

428 : 1, 2, 4, 107, 214, 428

642 : 1, 2, 3, 6, 107, 214, 321, 642

346 : 1, 2, 173, 346

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,642,346,368,884, is 2.

Now, the common factors can be found like this.

428:2x 2x 107

642:2x 3x 107

346:2x 173

368:2x 2x 2x 2x 23

884:2x 2x 13x 17

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 2x 2x 107 = 3424

Therefore, the value for common factors is 3424.

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 = 30928223818752/(2x3424)

LCM = 30928223818752/6848

LCM = 4516387824

Thus, we can understand that the LCM of 428,642,346,368,884 is 4516387824.

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

• LCM of 801, 744, 444, 124, 826
• LCM of 376, 673, 346, 237, 891
• LCM of 516, 630, 371, 566, 731
• LCM of 461, 847, 498, 399, 392
• LCM of 262, 634, 670, 836, 195

1. What is the LCM of 428, 642, 346, 368, 884?

Answer: LCM of 428, 642, 346, 368, 884 is 4516387824.

2. How to calculate the LCM of 428, 642, 346, 368, 884?

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 428, 642, 346, 368, 884.

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}.