Given numbers are 352,379,214,379,267

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

The LCM of 352,379,214,379,267 is 3811333152.

Find LCM of 352,379,214,379,267 with Prime Factorization

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

2 x 379 x 176 x 1 x 107 x 1 x 267 = 3811333152

Therefore, the lowest common multiple of 352,379,214,379,267 is 3811333152.

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.

352 x 379 x 214 x 379 x 267 = 2888990529216

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

379 : 1, 379

214 : 1, 2, 107, 214

379 : 1, 379

267 : 1, 3, 89, 267

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,379,214,379,267, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

379:379

214:2x 107

379:379

267:3x 89

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

2x 379 = 758

Therefore, the value for common factors is 758.

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 = 2888990529216/(1x758)

LCM = 2888990529216/758

LCM = 3811333152

Thus, we can understand that the LCM of 352,379,214,379,267 is 3811333152.

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

• LCM of 179, 138, 579, 409, 376
• LCM of 812, 359, 179, 887, 421
• LCM of 547, 755, 431, 895, 110
• LCM of 658, 945, 949, 904, 163
• LCM of 201, 922, 802, 440, 947

1. What is the LCM of 352, 379, 214, 379, 267?

Answer: LCM of 352, 379, 214, 379, 267 is 3811333152.

2. How to calculate the LCM of 352, 379, 214, 379, 267?

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 352, 379, 214, 379, 267.

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}.