Given numbers are 682,685,698,409

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

The LCM of 682,685,698,409 is 66684312970.

Find LCM of 682,685,698,409 with Prime Factorization

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

2 x 341 x 685 x 349 x 409 = 66684312970

Therefore, the lowest common multiple of 682,685,698,409 is 66684312970.

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.

682 x 685 x 698 x 409 = 133368625940

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

685 : 1, 5, 137, 685

698 : 1, 2, 349, 698

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,685,698,409, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

685:5x 137

698:2x 349

409:409

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 = 133368625940/(1x2)

LCM = 133368625940/2

LCM = 66684312970

Thus, we can understand that the LCM of 682,685,698,409 is 66684312970.

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

• LCM of 382, 239, 870, 754
• LCM of 801, 753, 753, 836
• LCM of 834, 145, 824, 365
• LCM of 188, 861, 754, 887
• LCM of 990, 636, 103, 391

1. What is the LCM of 682, 685, 698, 409?

Answer: LCM of 682, 685, 698, 409 is 66684312970.

2. How to calculate the LCM of 682, 685, 698, 409?

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 682, 685, 698, 409.

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}.