Given numbers are 684,214,617

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

The LCM of 684,214,617 is 45156996.

Find LCM of 684,214,617 with Prime Factorization

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

2 x 342 x 107 x 617 = 45156996

Therefore, the lowest common multiple of 684,214,617 is 45156996.

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.

684 x 214 x 617 = 90313992

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

214 : 1, 2, 107, 214

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,214,617, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

214:2x 107

617:617

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 = 90313992/(1x2)

LCM = 90313992/2

LCM = 45156996

Thus, we can understand that the LCM of 684,214,617 is 45156996.

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

• LCM of 117, 893, 153
• LCM of 180, 869, 438
• LCM of 131, 755, 650
• LCM of 154, 353, 214
• LCM of 396, 593, 144

1. What is the LCM of 684, 214, 617?

Answer: LCM of 684, 214, 617 is 45156996.

2. How to calculate the LCM of 684, 214, 617?

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 684, 214, 617.

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}.