Given numbers are 7466,3678

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

The LCM of 7466,3678 is 13729974.

Find LCM of 7466,3678 with Prime Factorization

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

2 x 3733 x 1839 = 13729974

Therefore, the lowest common multiple of 7466,3678 is 13729974.

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.

7466 x 3678 = 27459948

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.

7466 : 1, 2, 3733, 7466

3678 : 1, 2, 3, 6, 613, 1226, 1839, 3678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7466,3678, is 2.

Now, the common factors can be found like this.

7466:2x 3733

3678:2x 3x 613

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 = 27459948/(2x1)

LCM = 27459948/2

LCM = 13729974

Thus, we can understand that the LCM of 7466,3678 is 13729974.

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

• LCM of 8332, 9854
• LCM of 4410, 8450
• LCM of 9381, 4888
• LCM of 1815, 5960
• LCM of 8665, 2181

1. What is the LCM of 7466, 3678?

Answer: LCM of 7466, 3678 is 13729974.

2. How to calculate the LCM of 7466, 3678?

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 7466, 3678.

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}.