Given numbers are 1014,2346

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

The LCM of 1014,2346 is 396474.

Find LCM of 1014,2346 with Prime Factorization

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

2 x 3 x 169 x 391 = 396474

Therefore, the lowest common multiple of 1014,2346 is 396474.

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.

1014 x 2346 = 2378844

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.

1014 : 1, 2, 3, 6, 13, 26, 39, 78, 169, 338, 507, 1014

2346 : 1, 2, 3, 6, 17, 23, 34, 46, 51, 69, 102, 138, 391, 782, 1173, 2346

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1014,2346, is 6.

Now, the common factors can be found like this.

1014:2x 3x 13x 13

2346:2x 3x 17x 23

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 = 2378844/(6x1)

LCM = 2378844/6

LCM = 396474

Thus, we can understand that the LCM of 1014,2346 is 396474.

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

• LCM of 2385, 5954
• LCM of 7765, 7130
• LCM of 6400, 2828
• LCM of 4262, 5111
• LCM of 7322, 1405

1. What is the LCM of 1014, 2346?

Answer: LCM of 1014, 2346 is 396474.

2. How to calculate the LCM of 1014, 2346?

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 1014, 2346.

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}.