Given numbers are 68,34,359

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

The LCM of 68,34,359 is 24412.

Find LCM of 68,34,359 with Prime Factorization

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

2 x 17 x 2 x 1 x 359 = 24412

Therefore, the lowest common multiple of 68,34,359 is 24412.

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.

68 x 34 x 359 = 830008

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.

68 : 1, 2, 4, 17, 34, 68

34 : 1, 2, 17, 34

359 : 1, 359

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 68,34,359, is 1.

Now, the common factors can be found like this.

68:2x 2x 17

34:2x 17

359:359

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 830008/(1x34)

LCM = 830008/34

LCM = 24412

Thus, we can understand that the LCM of 68,34,359 is 24412.

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

• LCM of 56, 47, 253
• LCM of 86, 82, 303
• LCM of 57, 96, 590
• LCM of 49, 47, 564
• LCM of 42, 89, 930

1. What is the LCM of 68, 34, 359?

Answer: LCM of 68, 34, 359 is 24412.

2. How to calculate the LCM of 68, 34, 359?

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 68, 34, 359.

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}.