Given numbers are 7134,7674

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

The LCM of 7134,7674 is 9124386.

Find LCM of 7134,7674 with Prime Factorization

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

2 x 3 x 1189 x 1279 = 9124386

Therefore, the lowest common multiple of 7134,7674 is 9124386.

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.

7134 x 7674 = 54746316

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.

7134 : 1, 2, 3, 6, 29, 41, 58, 82, 87, 123, 174, 246, 1189, 2378, 3567, 7134

7674 : 1, 2, 3, 6, 1279, 2558, 3837, 7674

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7134,7674, is 6.

Now, the common factors can be found like this.

7134:2x 3x 29x 41

7674:2x 3x 1279

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 = 54746316/(6x1)

LCM = 54746316/6

LCM = 9124386

Thus, we can understand that the LCM of 7134,7674 is 9124386.

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

• LCM of 2466, 4595
• LCM of 5116, 4103
• LCM of 7712, 3314
• LCM of 6842, 5185
• LCM of 2971, 5937

1. What is the LCM of 7134, 7674?

Answer: LCM of 7134, 7674 is 9124386.

2. How to calculate the LCM of 7134, 7674?

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 7134, 7674.

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}.