Given numbers are 343,386,352,112

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

The LCM of 343,386,352,112 is 23302048.

Find LCM of 343,386,352,112 with Prime Factorization

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

2 x 2 x 2 x 2 x 7 x 49 x 193 x 22 x 1 = 23302048

Therefore, the lowest common multiple of 343,386,352,112 is 23302048.

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.

343 x 386 x 352 x 112 = 5219658752

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.

343 : 1, 7, 49, 343

386 : 1, 2, 193, 386

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

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,386,352,112, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

386:2x 193

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

112:2x 2x 2x 2x 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 2x 2x 7 = 224

Therefore, the value for common factors is 224.

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 = 5219658752/(1x224)

LCM = 5219658752/224

LCM = 23302048

Thus, we can understand that the LCM of 343,386,352,112 is 23302048.

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

• LCM of 269, 613, 831, 656
• LCM of 594, 471, 455, 897
• LCM of 884, 653, 233, 626
• LCM of 593, 135, 919, 659
• LCM of 689, 361, 905, 500

1. What is the LCM of 343, 386, 352, 112?

Answer: LCM of 343, 386, 352, 112 is 23302048.

2. How to calculate the LCM of 343, 386, 352, 112?

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 343, 386, 352, 112.

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}.