Given numbers are 5428,8614

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

The LCM of 5428,8614 is 396244.

Find LCM of 5428,8614 with Prime Factorization

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

2 x 59 x 46 x 73 = 396244

Therefore, the lowest common multiple of 5428,8614 is 396244.

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.

5428 x 8614 = 46756792

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.

5428 : 1, 2, 4, 23, 46, 59, 92, 118, 236, 1357, 2714, 5428

8614 : 1, 2, 59, 73, 118, 146, 4307, 8614

118 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5428,8614, is 118.

Now, the common factors can be found like this.

5428:2x 2x 23x 59

8614:2x 59x 73

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 = 46756792/(118x1)

LCM = 46756792/118

LCM = 396244

Thus, we can understand that the LCM of 5428,8614 is 396244.

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

• LCM of 3528, 3600
• LCM of 4713, 9794
• LCM of 5047, 7748
• LCM of 3997, 7412
• LCM of 8634, 1291

1. What is the LCM of 5428, 8614?

Answer: LCM of 5428, 8614 is 396244.

2. How to calculate the LCM of 5428, 8614?

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 5428, 8614.

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}.