Given numbers are 663,21,759

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

The LCM of 663,21,759 is 1174173.

Find LCM of 663,21,759 with Prime Factorization

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

3 x 221 x 7 x 253 = 1174173

Therefore, the lowest common multiple of 663,21,759 is 1174173.

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.

663 x 21 x 759 = 10567557

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.

663 : 1, 3, 13, 17, 39, 51, 221, 663

21 : 1, 3, 7, 21

759 : 1, 3, 11, 23, 33, 69, 253, 759

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,21,759, is 3.

Now, the common factors can be found like this.

663:3x 13x 17

21:3x 7

759:3x 11x 23

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

3 = 3

Therefore, the value for common factors is 3.

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 = 10567557/(3x3)

LCM = 10567557/9

LCM = 1174173

Thus, we can understand that the LCM of 663,21,759 is 1174173.

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

• LCM of 318, 87, 342
• LCM of 573, 15, 568
• LCM of 235, 78, 937
• LCM of 759, 29, 187
• LCM of 320, 25, 927

1. What is the LCM of 663, 21, 759?

Answer: LCM of 663, 21, 759 is 1174173.

2. How to calculate the LCM of 663, 21, 759?

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 663, 21, 759.

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}.