Given numbers are 874,3249

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

The LCM of 874,3249 is 149454.

Find LCM of 874,3249 with Prime Factorization

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

19 x 46 x 171 = 149454

Therefore, the lowest common multiple of 874,3249 is 149454.

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.

874 x 3249 = 2839626

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.

874 : 1, 2, 19, 23, 38, 46, 437, 874

3249 : 1, 3, 9, 19, 57, 171, 361, 1083, 3249

19 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,3249, is 19.

Now, the common factors can be found like this.

874:2x 19x 23

3249:3x 3x 19x 19

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 = 2839626/(19x1)

LCM = 2839626/19

LCM = 149454

Thus, we can understand that the LCM of 874,3249 is 149454.

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

• LCM of 167, 4494
• LCM of 258, 5260
• LCM of 308, 1803
• LCM of 985, 2464
• LCM of 752, 2433

1. What is the LCM of 874, 3249?

Answer: LCM of 874, 3249 is 149454.

2. How to calculate the LCM of 874, 3249?

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 874, 3249.

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}.