Given numbers are 689,5353

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

The LCM of 689,5353 is 69589.

Find LCM of 689,5353 with Prime Factorization

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

53 x 13 x 101 = 69589

Therefore, the lowest common multiple of 689,5353 is 69589.

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.

689 x 5353 = 3688217

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.

689 : 1, 13, 53, 689

5353 : 1, 53, 101, 5353

53 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,5353, is 53.

Now, the common factors can be found like this.

689:13x 53

5353:53x 101

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 = 3688217/(53x1)

LCM = 3688217/53

LCM = 69589

Thus, we can understand that the LCM of 689,5353 is 69589.

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

• LCM of 482, 9885
• LCM of 828, 9298
• LCM of 930, 4317
• LCM of 808, 9688
• LCM of 419, 5877

1. What is the LCM of 689, 5353?

Answer: LCM of 689, 5353 is 69589.

2. How to calculate the LCM of 689, 5353?

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 689, 5353.

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}.