Given numbers are 6738,3478

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

The LCM of 6738,3478 is 11717382.

Find LCM of 6738,3478 with Prime Factorization

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

2 x 3369 x 1739 = 11717382

Therefore, the lowest common multiple of 6738,3478 is 11717382.

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.

6738 x 3478 = 23434764

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.

6738 : 1, 2, 3, 6, 1123, 2246, 3369, 6738

3478 : 1, 2, 37, 47, 74, 94, 1739, 3478

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6738,3478, is 2.

Now, the common factors can be found like this.

6738:2x 3x 1123

3478:2x 37x 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 = 23434764/(2x1)

LCM = 23434764/2

LCM = 11717382

Thus, we can understand that the LCM of 6738,3478 is 11717382.

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

• LCM of 7654, 8201
• LCM of 7855, 1997
• LCM of 3324, 7683
• LCM of 7002, 9002
• LCM of 3016, 4177

1. What is the LCM of 6738, 3478?

Answer: LCM of 6738, 3478 is 11717382.

2. How to calculate the LCM of 6738, 3478?

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 6738, 3478.

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}.