Given numbers are 304,3428

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

The LCM of 304,3428 is 260528.

Find LCM of 304,3428 with Prime Factorization

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

2 x 2 x 76 x 857 = 260528

Therefore, the lowest common multiple of 304,3428 is 260528.

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.

304 x 3428 = 1042112

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

3428 : 1, 2, 4, 857, 1714, 3428

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,3428, is 4.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

3428:2x 2x 857

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 = 1042112/(4x1)

LCM = 1042112/4

LCM = 260528

Thus, we can understand that the LCM of 304,3428 is 260528.

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

• LCM of 558, 8119
• LCM of 246, 9922
• LCM of 568, 5409
• LCM of 942, 3807
• LCM of 674, 3020

1. What is the LCM of 304, 3428?

Answer: LCM of 304, 3428 is 260528.

2. How to calculate the LCM of 304, 3428?

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 304, 3428.

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}.