Given numbers are 26,75,16,22,731

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

The LCM of 26,75,16,22,731 is 125439600.

Find LCM of 26,75,16,22,731 with Prime Factorization

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

2 x 13 x 75 x 8 x 11 x 731 = 125439600

Therefore, the lowest common multiple of 26,75,16,22,731 is 125439600.

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.

26 x 75 x 16 x 22 x 731 = 501758400

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.

26 : 1, 2, 13, 26

75 : 1, 3, 5, 15, 25, 75

16 : 1, 2, 4, 8, 16

22 : 1, 2, 11, 22

731 : 1, 17, 43, 731

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 26,75,16,22,731, is 1.

Now, the common factors can be found like this.

26:2x 13

75:3x 5x 5

16:2x 2x 2x 2

22:2x 11

731:17x 43

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 501758400/(1x4)

LCM = 501758400/4

LCM = 125439600

Thus, we can understand that the LCM of 26,75,16,22,731 is 125439600.

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

• LCM of 75, 98, 66, 12, 866
• LCM of 53, 41, 82, 17, 808
• LCM of 12, 21, 25, 81, 863
• LCM of 35, 51, 55, 75, 469
• LCM of 80, 99, 51, 54, 343

1. What is the LCM of 26, 75, 16, 22, 731?

Answer: LCM of 26, 75, 16, 22, 731 is 125439600.

2. How to calculate the LCM of 26, 75, 16, 22, 731?

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 26, 75, 16, 22, 731.

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}.