Given numbers are 31,55,22,32,859

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

The LCM of 31,55,22,32,859 is 46867040.

Find LCM of 31,55,22,32,859 with Prime Factorization

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

2 x 11 x 31 x 5 x 1 x 16 x 859 = 46867040

Therefore, the lowest common multiple of 31,55,22,32,859 is 46867040.

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.

31 x 55 x 22 x 32 x 859 = 1031074880

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.

31 : 1, 31

55 : 1, 5, 11, 55

22 : 1, 2, 11, 22

32 : 1, 2, 4, 8, 16, 32

859 : 1, 859

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 31,55,22,32,859, is 1.

Now, the common factors can be found like this.

31:31

55:5x 11

22:2x 11

32:2x 2x 2x 2x 2

859:859

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 1031074880/(1x22)

LCM = 1031074880/22

LCM = 46867040

Thus, we can understand that the LCM of 31,55,22,32,859 is 46867040.

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

• LCM of 37, 67, 71, 46, 624
• LCM of 96, 61, 45, 63, 807
• LCM of 39, 16, 48, 32, 201
• LCM of 78, 93, 16, 26, 748
• LCM of 91, 89, 72, 39, 531

1. What is the LCM of 31, 55, 22, 32, 859?

Answer: LCM of 31, 55, 22, 32, 859 is 46867040.

2. How to calculate the LCM of 31, 55, 22, 32, 859?

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 31, 55, 22, 32, 859.

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}.