Given numbers are 617,108,119,289

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

The LCM of 617,108,119,289 is 134804628.

Find LCM of 617,108,119,289 with Prime Factorization

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

17 x 617 x 108 x 7 x 17 = 134804628

Therefore, the lowest common multiple of 617,108,119,289 is 134804628.

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.

617 x 108 x 119 x 289 = 2291678676

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.

617 : 1, 617

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

119 : 1, 7, 17, 119

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,108,119,289, is 1.

Now, the common factors can be found like this.

617:617

108:2x 2x 3x 3x 3

119:7x 17

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.

17 = 17

Therefore, the value for common factors is 17.

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 = 2291678676/(1x17)

LCM = 2291678676/17

LCM = 134804628

Thus, we can understand that the LCM of 617,108,119,289 is 134804628.

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

• LCM of 156, 505, 293, 772
• LCM of 429, 893, 556, 855
• LCM of 397, 329, 604, 602
• LCM of 662, 613, 375, 106
• LCM of 168, 958, 222, 474

1. What is the LCM of 617, 108, 119, 289?

Answer: LCM of 617, 108, 119, 289 is 134804628.

2. How to calculate the LCM of 617, 108, 119, 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 617, 108, 119, 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}.