Given numbers are 48,22,64,32,706

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

The LCM of 48,22,64,32,706 is 745536.

Find LCM of 48,22,64,32,706 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 11 x 1 x 2 x 353 = 745536

Therefore, the lowest common multiple of 48,22,64,32,706 is 745536.

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.

48 x 22 x 64 x 32 x 706 = 1526857728

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.

48 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

22 : 1, 2, 11, 22

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

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

706 : 1, 2, 353, 706

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 48,22,64,32,706, is 2.

Now, the common factors can be found like this.

48:2x 2x 2x 2x 3

22:2x 11

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

32:2x 2x 2x 2x 2

706:2x 353

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 2x 2x 2x 2x 2 = 1024

Therefore, the value for common factors is 1024.

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 = 1526857728/(2x1024)

LCM = 1526857728/2048

LCM = 745536

Thus, we can understand that the LCM of 48,22,64,32,706 is 745536.

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

• LCM of 34, 68, 88, 72, 678
• LCM of 10, 59, 13, 65, 407
• LCM of 20, 28, 49, 46, 990
• LCM of 53, 50, 33, 18, 955
• LCM of 31, 57, 50, 90, 646

1. What is the LCM of 48, 22, 64, 32, 706?

Answer: LCM of 48, 22, 64, 32, 706 is 745536.

2. How to calculate the LCM of 48, 22, 64, 32, 706?

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 48, 22, 64, 32, 706.

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}.