Given numbers are 1338,5678

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

The LCM of 1338,5678 is 3798582.

Find LCM of 1338,5678 with Prime Factorization

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

2 x 669 x 2839 = 3798582

Therefore, the lowest common multiple of 1338,5678 is 3798582.

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.

1338 x 5678 = 7597164

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.

1338 : 1, 2, 3, 6, 223, 446, 669, 1338

5678 : 1, 2, 17, 34, 167, 334, 2839, 5678

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1338,5678, is 2.

Now, the common factors can be found like this.

1338:2x 3x 223

5678:2x 17x 167

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 = 7597164/(2x1)

LCM = 7597164/2

LCM = 3798582

Thus, we can understand that the LCM of 1338,5678 is 3798582.

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

• LCM of 4807, 6066
• LCM of 8549, 8447
• LCM of 5787, 4030
• LCM of 6858, 7837
• LCM of 9067, 5251

1. What is the LCM of 1338, 5678?

Answer: LCM of 1338, 5678 is 3798582.

2. How to calculate the LCM of 1338, 5678?

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 1338, 5678.

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}.