Given numbers are 11,22,16,75,274

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

The LCM of 11,22,16,75,274 is 1808400.

Find LCM of 11,22,16,75,274 with Prime Factorization

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

2 x 11 x 1 x 1 x 8 x 75 x 137 = 1808400

Therefore, the lowest common multiple of 11,22,16,75,274 is 1808400.

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.

11 x 22 x 16 x 75 x 274 = 79569600

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.

11 : 1, 11

22 : 1, 2, 11, 22

16 : 1, 2, 4, 8, 16

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

274 : 1, 2, 137, 274

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 11,22,16,75,274, is 1.

Now, the common factors can be found like this.

11:11

22:2x 11

16:2x 2x 2x 2

75:3x 5x 5

274:2x 137

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 11 = 44

Therefore, the value for common factors is 44.

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 = 79569600/(1x44)

LCM = 79569600/44

LCM = 1808400

Thus, we can understand that the LCM of 11,22,16,75,274 is 1808400.

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

• LCM of 69, 50, 44, 27, 597
• LCM of 49, 55, 77, 88, 867
• LCM of 74, 20, 86, 52, 126
• LCM of 20, 43, 22, 46, 736
• LCM of 79, 79, 95, 11, 491

1. What is the LCM of 11, 22, 16, 75, 274?

Answer: LCM of 11, 22, 16, 75, 274 is 1808400.

2. How to calculate the LCM of 11, 22, 16, 75, 274?

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 11, 22, 16, 75, 274.

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}.