Given numbers are 6714,5674

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

The LCM of 6714,5674 is 19047618.

Find LCM of 6714,5674 with Prime Factorization

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

2 x 3357 x 2837 = 19047618

Therefore, the lowest common multiple of 6714,5674 is 19047618.

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.

6714 x 5674 = 38095236

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.

6714 : 1, 2, 3, 6, 9, 18, 373, 746, 1119, 2238, 3357, 6714

5674 : 1, 2, 2837, 5674

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6714,5674, is 2.

Now, the common factors can be found like this.

6714:2x 3x 3x 373

5674:2x 2837

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 = 38095236/(2x1)

LCM = 38095236/2

LCM = 19047618

Thus, we can understand that the LCM of 6714,5674 is 19047618.

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

• LCM of 8692, 1504
• LCM of 5625, 3295
• LCM of 2154, 6236
• LCM of 3608, 6936
• LCM of 1502, 2802

1. What is the LCM of 6714, 5674?

Answer: LCM of 6714, 5674 is 19047618.

2. How to calculate the LCM of 6714, 5674?

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 6714, 5674.

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}.