Given numbers are 2946,6994

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

The LCM of 2946,6994 is 10302162.

Find LCM of 2946,6994 with Prime Factorization

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

2 x 1473 x 3497 = 10302162

Therefore, the lowest common multiple of 2946,6994 is 10302162.

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.

2946 x 6994 = 20604324

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.

2946 : 1, 2, 3, 6, 491, 982, 1473, 2946

6994 : 1, 2, 13, 26, 269, 538, 3497, 6994

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2946,6994, is 2.

Now, the common factors can be found like this.

2946:2x 3x 491

6994:2x 13x 269

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 = 20604324/(2x1)

LCM = 20604324/2

LCM = 10302162

Thus, we can understand that the LCM of 2946,6994 is 10302162.

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

• LCM of 1949, 6924
• LCM of 7789, 2153
• LCM of 9807, 6436
• LCM of 1536, 8885
• LCM of 7706, 4508

1. What is the LCM of 2946, 6994?

Answer: LCM of 2946, 6994 is 10302162.

2. How to calculate the LCM of 2946, 6994?

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 2946, 6994.

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}.