Given numbers are 1628,7689

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

The LCM of 1628,7689 is 1137972.

Find LCM of 1628,7689 with Prime Factorization

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

11 x 148 x 699 = 1137972

Therefore, the lowest common multiple of 1628,7689 is 1137972.

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.

1628 x 7689 = 12517692

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.

1628 : 1, 2, 4, 11, 22, 37, 44, 74, 148, 407, 814, 1628

7689 : 1, 3, 11, 33, 233, 699, 2563, 7689

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1628,7689, is 11.

Now, the common factors can be found like this.

1628:2x 2x 11x 37

7689:3x 11x 233

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 = 12517692/(11x1)

LCM = 12517692/11

LCM = 1137972

Thus, we can understand that the LCM of 1628,7689 is 1137972.

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

• LCM of 4238, 5835
• LCM of 9602, 1199
• LCM of 3892, 1286
• LCM of 9982, 4657
• LCM of 2684, 4959

1. What is the LCM of 1628, 7689?

Answer: LCM of 1628, 7689 is 1137972.

2. How to calculate the LCM of 1628, 7689?

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 1628, 7689.

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}.