Given numbers are 7123,7684

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

The LCM of 7123,7684 is 3219596.

Find LCM of 7123,7684 with Prime Factorization

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

17 x 419 x 452 = 3219596

Therefore, the lowest common multiple of 7123,7684 is 3219596.

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.

7123 x 7684 = 54733132

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.

7123 : 1, 17, 419, 7123

7684 : 1, 2, 4, 17, 34, 68, 113, 226, 452, 1921, 3842, 7684

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7123,7684, is 17.

Now, the common factors can be found like this.

7123:17x 419

7684:2x 2x 17x 113

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 = 54733132/(17x1)

LCM = 54733132/17

LCM = 3219596

Thus, we can understand that the LCM of 7123,7684 is 3219596.

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

• LCM of 9411, 3490
• LCM of 1076, 7909
• LCM of 6924, 6771
• LCM of 7420, 3456
• LCM of 5866, 7363

1. What is the LCM of 7123, 7684?

Answer: LCM of 7123, 7684 is 3219596.

2. How to calculate the LCM of 7123, 7684?

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 7123, 7684.

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}.