Given numbers are 1038,2914

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

The LCM of 1038,2914 is 1512366.

Find LCM of 1038,2914 with Prime Factorization

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

2 x 519 x 1457 = 1512366

Therefore, the lowest common multiple of 1038,2914 is 1512366.

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.

1038 x 2914 = 3024732

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.

1038 : 1, 2, 3, 6, 173, 346, 519, 1038

2914 : 1, 2, 31, 47, 62, 94, 1457, 2914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1038,2914, is 2.

Now, the common factors can be found like this.

1038:2x 3x 173

2914:2x 31x 47

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 = 3024732/(2x1)

LCM = 3024732/2

LCM = 1512366

Thus, we can understand that the LCM of 1038,2914 is 1512366.

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

• LCM of 5296, 2201
• LCM of 5933, 6845
• LCM of 5068, 4578
• LCM of 1676, 2567
• LCM of 8925, 8207

1. What is the LCM of 1038, 2914?

Answer: LCM of 1038, 2914 is 1512366.

2. How to calculate the LCM of 1038, 2914?

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 1038, 2914.

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}.