Given numbers are 689,33,715

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

The LCM of 689,33,715 is 113685.

Find LCM of 689,33,715 with Prime Factorization

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

11 x 13 x 53 x 3 x 5 = 113685

Therefore, the lowest common multiple of 689,33,715 is 113685.

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 33 x 715 = 16256955

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

33 : 1, 3, 11, 33

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,33,715, is 1.

Now, the common factors can be found like this.

689:13x 53

33:3x 11

715:5x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 16256955/(1x143)

LCM = 16256955/143

LCM = 113685

Thus, we can understand that the LCM of 689,33,715 is 113685.

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

• LCM of 586, 76, 454
• LCM of 851, 28, 612
• LCM of 308, 31, 378
• LCM of 496, 12, 479
• LCM of 932, 41, 694

1. What is the LCM of 689, 33, 715?

Answer: LCM of 689, 33, 715 is 113685.

2. How to calculate the LCM of 689, 33, 715?

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, 33, 715.

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}.