Given numbers are 346,705,214,432,882

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

The LCM of 346,705,214,432,882 is 92082599280.

Find LCM of 346,705,214,432,882 with Prime Factorization

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

2 x 3 x 3 x 173 x 235 x 107 x 24 x 49 = 92082599280

Therefore, the lowest common multiple of 346,705,214,432,882 is 92082599280.

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.

346 x 705 x 214 x 432 x 882 = 19889841444480

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.

346 : 1, 2, 173, 346

705 : 1, 3, 5, 15, 47, 141, 235, 705

214 : 1, 2, 107, 214

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 346,705,214,432,882, is 1.

Now, the common factors can be found like this.

346:2x 173

705:3x 5x 47

214:2x 107

432:2x 2x 2x 2x 3x 3x 3

882:2x 3x 3x 7x 7

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 3 = 216

Therefore, the value for common factors is 216.

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 = 19889841444480/(1x216)

LCM = 19889841444480/216

LCM = 92082599280

Thus, we can understand that the LCM of 346,705,214,432,882 is 92082599280.

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

• LCM of 566, 494, 986, 636, 228
• LCM of 710, 334, 456, 639, 868
• LCM of 508, 883, 856, 674, 173
• LCM of 409, 503, 866, 954, 987
• LCM of 521, 567, 625, 843, 775

1. What is the LCM of 346, 705, 214, 432, 882?

Answer: LCM of 346, 705, 214, 432, 882 is 92082599280.

2. How to calculate the LCM of 346, 705, 214, 432, 882?

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 346, 705, 214, 432, 882.

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}.