Given numbers are 643,15,753,112

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

The LCM of 643,15,753,112 is 271140240.

Find LCM of 643,15,753,112 with Prime Factorization

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

3 x 643 x 5 x 251 x 112 = 271140240

Therefore, the lowest common multiple of 643,15,753,112 is 271140240.

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.

643 x 15 x 753 x 112 = 813420720

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.

643 : 1, 643

15 : 1, 3, 5, 15

753 : 1, 3, 251, 753

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 643,15,753,112, is 1.

Now, the common factors can be found like this.

643:643

15:3x 5

753:3x 251

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.

3 = 3

Therefore, the value for common factors is 3.

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 = 813420720/(1x3)

LCM = 813420720/3

LCM = 271140240

Thus, we can understand that the LCM of 643,15,753,112 is 271140240.

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

• LCM of 757, 56, 336, 685
• LCM of 230, 46, 500, 737
• LCM of 445, 15, 436, 320
• LCM of 173, 35, 584, 264
• LCM of 814, 51, 338, 513

1. What is the LCM of 643, 15, 753, 112?

Answer: LCM of 643, 15, 753, 112 is 271140240.

2. How to calculate the LCM of 643, 15, 753, 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 643, 15, 753, 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}.