Given numbers are 289,226,120,791

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

The LCM of 289,226,120,791 is 27431880.

Find LCM of 289,226,120,791 with Prime Factorization

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

2 x 113 x 289 x 1 x 60 x 7 = 27431880

Therefore, the lowest common multiple of 289,226,120,791 is 27431880.

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.

289 x 226 x 120 x 791 = 6199604880

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.

289 : 1, 17, 289

226 : 1, 2, 113, 226

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,226,120,791, is 1.

Now, the common factors can be found like this.

289:17x 17

226:2x 113

120:2x 2x 2x 3x 5

791:7x 113

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

2x 113 = 226

Therefore, the value for common factors is 226.

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 = 6199604880/(1x226)

LCM = 6199604880/226

LCM = 27431880

Thus, we can understand that the LCM of 289,226,120,791 is 27431880.

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

• LCM of 910, 459, 262, 264
• LCM of 115, 616, 458, 678
• LCM of 596, 445, 223, 390
• LCM of 897, 879, 893, 888
• LCM of 471, 728, 800, 745

1. What is the LCM of 289, 226, 120, 791?

Answer: LCM of 289, 226, 120, 791 is 27431880.

2. How to calculate the LCM of 289, 226, 120, 791?

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 289, 226, 120, 791.

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}.