Given numbers are 56,22,67,289

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

The LCM of 56,22,67,289 is 11927608.

Find LCM of 56,22,67,289 with Prime Factorization

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

2 x 28 x 11 x 67 x 289 = 11927608

Therefore, the lowest common multiple of 56,22,67,289 is 11927608.

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.

56 x 22 x 67 x 289 = 23855216

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.

56 : 1, 2, 4, 7, 8, 14, 28, 56

22 : 1, 2, 11, 22

67 : 1, 67

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 56,22,67,289, is 1.

Now, the common factors can be found like this.

56:2x 2x 2x 7

22:2x 11

67:67

289:17x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 23855216/(1x2)

LCM = 23855216/2

LCM = 11927608

Thus, we can understand that the LCM of 56,22,67,289 is 11927608.

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

• LCM of 51, 44, 59, 319
• LCM of 67, 60, 10, 537
• LCM of 99, 54, 48, 157
• LCM of 73, 66, 14, 999
• LCM of 17, 26, 55, 788

1. What is the LCM of 56, 22, 67, 289?

Answer: LCM of 56, 22, 67, 289 is 11927608.

2. How to calculate the LCM of 56, 22, 67, 289?

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 56, 22, 67, 289.

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}.