Given numbers are 334,242,363,576,642

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

The LCM of 334,242,363,576,642 is 1245397824.

Find LCM of 334,242,363,576,642 with Prime Factorization

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

2 x 3 x 11 x 11 x 167 x 1 x 1 x 96 x 107 = 1245397824

Therefore, the lowest common multiple of 334,242,363,576,642 is 1245397824.

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.

334 x 242 x 363 x 576 x 642 = 10849905842688

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.

334 : 1, 2, 167, 334

242 : 1, 2, 11, 22, 121, 242

363 : 1, 3, 11, 33, 121, 363

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,242,363,576,642, is 1.

Now, the common factors can be found like this.

334:2x 167

242:2x 11x 11

363:3x 11x 11

576:2x 2x 2x 2x 2x 2x 3x 3

642:2x 3x 107

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 3x 3x 11x 11 = 8712

Therefore, the value for common factors is 8712.

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 = 10849905842688/(1x8712)

LCM = 10849905842688/8712

LCM = 1245397824

Thus, we can understand that the LCM of 334,242,363,576,642 is 1245397824.

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

• LCM of 722, 740, 789, 623, 972
• LCM of 599, 342, 789, 736, 433
• LCM of 230, 702, 692, 392, 340
• LCM of 728, 677, 156, 218, 372
• LCM of 920, 884, 672, 222, 182

1. What is the LCM of 334, 242, 363, 576, 642?

Answer: LCM of 334, 242, 363, 576, 642 is 1245397824.

2. How to calculate the LCM of 334, 242, 363, 576, 642?

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 334, 242, 363, 576, 642.

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}.