Given numbers are 64,16,42,26,214

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

The LCM of 64,16,42,26,214 is 1869504.

Find LCM of 64,16,42,26,214 with Prime Factorization

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

2 x 2 x 2 x 2 x 4 x 1 x 21 x 13 x 107 = 1869504

Therefore, the lowest common multiple of 64,16,42,26,214 is 1869504.

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.

64 x 16 x 42 x 26 x 214 = 239296512

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.

64 : 1, 2, 4, 8, 16, 32, 64

16 : 1, 2, 4, 8, 16

42 : 1, 2, 3, 6, 7, 14, 21, 42

26 : 1, 2, 13, 26

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 64,16,42,26,214, is 2.

Now, the common factors can be found like this.

64:2x 2x 2x 2x 2x 2

16:2x 2x 2x 2

42:2x 3x 7

26:2x 13

214:2x 107

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 2x 2x 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 239296512/(2x64)

LCM = 239296512/128

LCM = 1869504

Thus, we can understand that the LCM of 64,16,42,26,214 is 1869504.

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

• LCM of 92, 78, 71, 72, 826
• LCM of 84, 53, 47, 53, 384
• LCM of 20, 51, 43, 52, 424
• LCM of 40, 58, 20, 60, 664
• LCM of 61, 54, 53, 52, 404

1. What is the LCM of 64, 16, 42, 26, 214?

Answer: LCM of 64, 16, 42, 26, 214 is 1869504.

2. How to calculate the LCM of 64, 16, 42, 26, 214?

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 64, 16, 42, 26, 214.

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}.