Given numbers are 348,112,110,706

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

The LCM of 348,112,110,706 is 189179760.

Find LCM of 348,112,110,706 with Prime Factorization

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

2 x 2 x 87 x 28 x 55 x 353 = 189179760

Therefore, the lowest common multiple of 348,112,110,706 is 189179760.

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.

348 x 112 x 110 x 706 = 3026876160

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,112,110,706, is 2.

Now, the common factors can be found like this.

348:2x 2x 3x 29

112:2x 2x 2x 2x 7

110:2x 5x 11

706:2x 353

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3026876160/(2x8)

LCM = 3026876160/16

LCM = 189179760

Thus, we can understand that the LCM of 348,112,110,706 is 189179760.

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

• LCM of 860, 820, 640, 216
• LCM of 268, 598, 880, 601
• LCM of 329, 557, 977, 279
• LCM of 336, 572, 449, 457
• LCM of 654, 897, 799, 333

1. What is the LCM of 348, 112, 110, 706?

Answer: LCM of 348, 112, 110, 706 is 189179760.

2. How to calculate the LCM of 348, 112, 110, 706?

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 348, 112, 110, 706.

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}.