Given numbers are 3485,6749

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

The LCM of 3485,6749 is 1383545.

Find LCM of 3485,6749 with Prime Factorization

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

17 x 205 x 397 = 1383545

Therefore, the lowest common multiple of 3485,6749 is 1383545.

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.

3485 x 6749 = 23520265

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.

3485 : 1, 5, 17, 41, 85, 205, 697, 3485

6749 : 1, 17, 397, 6749

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3485,6749, is 17.

Now, the common factors can be found like this.

3485:5x 17x 41

6749:17x 397

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

= 1

Therefore, the value for common factors is 1.

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 = 23520265/(17x1)

LCM = 23520265/17

LCM = 1383545

Thus, we can understand that the LCM of 3485,6749 is 1383545.

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

• LCM of 5424, 4361
• LCM of 5077, 7086
• LCM of 4979, 8345
• LCM of 5966, 3400
• LCM of 8359, 6776

1. What is the LCM of 3485, 6749?

Answer: LCM of 3485, 6749 is 1383545.

2. How to calculate the LCM of 3485, 6749?

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 3485, 6749.

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}.