Given numbers are 64,19,24,642

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

The LCM of 64,19,24,642 is 390336.

Find LCM of 64,19,24,642 with Prime Factorization

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

2 x 2 x 2 x 3 x 8 x 19 x 1 x 107 = 390336

Therefore, the lowest common multiple of 64,19,24,642 is 390336.

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 19 x 24 x 642 = 18736128

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

19 : 1, 19

24 : 1, 2, 3, 4, 6, 8, 12, 24

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 64,19,24,642, is 1.

Now, the common factors can be found like this.

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

19:19

24:2x 2x 2x 3

642:2x 3x 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 3 = 48

Therefore, the value for common factors is 48.

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 = 18736128/(1x48)

LCM = 18736128/48

LCM = 390336

Thus, we can understand that the LCM of 64,19,24,642 is 390336.

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

• LCM of 53, 69, 58, 122
• LCM of 47, 29, 54, 123
• LCM of 71, 93, 72, 167
• LCM of 93, 71, 71, 616
• LCM of 67, 45, 53, 717

1. What is the LCM of 64, 19, 24, 642?

Answer: LCM of 64, 19, 24, 642 is 390336.

2. How to calculate the LCM of 64, 19, 24, 642?

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, 19, 24, 642.

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}.