Given numbers are 349,352,112,345

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

The LCM of 349,352,112,345 is 296677920.

Find LCM of 349,352,112,345 with Prime Factorization

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

2 x 2 x 2 x 2 x 349 x 22 x 7 x 345 = 296677920

Therefore, the lowest common multiple of 349,352,112,345 is 296677920.

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.

349 x 352 x 112 x 345 = 4746846720

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.

349 : 1, 349

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

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

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,352,112,345, is 1.

Now, the common factors can be found like this.

349:349

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

112:2x 2x 2x 2x 7

345:3x 5x 23

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 2 = 16

Therefore, the value for common factors is 16.

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 = 4746846720/(1x16)

LCM = 4746846720/16

LCM = 296677920

Thus, we can understand that the LCM of 349,352,112,345 is 296677920.

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

• LCM of 532, 854, 685, 685
• LCM of 946, 728, 541, 436
• LCM of 267, 476, 358, 740
• LCM of 678, 629, 499, 375
• LCM of 832, 979, 799, 995

1. What is the LCM of 349, 352, 112, 345?

Answer: LCM of 349, 352, 112, 345 is 296677920.

2. How to calculate the LCM of 349, 352, 112, 345?

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 349, 352, 112, 345.

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}.