Given numbers are 11,16,21,74,956

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

The LCM of 11,16,21,74,956 is 32683728.

Find LCM of 11,16,21,74,956 with Prime Factorization

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

2 x 2 x 11 x 4 x 21 x 37 x 239 = 32683728

Therefore, the lowest common multiple of 11,16,21,74,956 is 32683728.

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 16 x 21 x 74 x 956 = 261469824

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

16 : 1, 2, 4, 8, 16

21 : 1, 3, 7, 21

74 : 1, 2, 37, 74

956 : 1, 2, 4, 239, 478, 956

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 11,16,21,74,956, is 1.

Now, the common factors can be found like this.

11:11

16:2x 2x 2x 2

21:3x 7

74:2x 37

956:2x 2x 239

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 2 = 8

Therefore, the value for common factors is 8.

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 = 261469824/(1x8)

LCM = 261469824/8

LCM = 32683728

Thus, we can understand that the LCM of 11,16,21,74,956 is 32683728.

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

• LCM of 84, 98, 90, 63, 431
• LCM of 64, 40, 49, 48, 896
• LCM of 10, 16, 83, 81, 137
• LCM of 27, 60, 82, 39, 957
• LCM of 21, 30, 18, 28, 918

1. What is the LCM of 11, 16, 21, 74, 956?

Answer: LCM of 11, 16, 21, 74, 956 is 32683728.

2. How to calculate the LCM of 11, 16, 21, 74, 956?

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, 16, 21, 74, 956.

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}.