LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 663, 391, 391, 743

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 663, 391, 391, 743 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 663, 391, 391, 743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 663,391,391,743

Given numbers are 663,391,391,743

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

The LCM of 663,391,391,743 is 11330007.

Find LCM of 663,391,391,743 with Prime Factorization


17 663, 391, 391, 743
23 39, 23, 23, 743
39, 1, 1, 743

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

17 x 23 x 39 x 1 x 1 x 743 = 11330007

Therefore, the lowest common multiple of 663,391,391,743 is 11330007.

LCM Formula to Find Lowest Common Multiple of 663,391,391,743

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 391 x 391 x 743 = 75310556529

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

391 : 1, 17, 23, 391

391 : 1, 17, 23, 391

743 : 1, 743

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,391,391,743, is 1.

Now, the common factors can be found like this.

663:3x 13x 17

391:17x 23

391:17x 23

743:743

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

17x 17x 23 = 6647

Therefore, the value for common factors is 6647.

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 = 75310556529/(1x6647)

LCM = 75310556529/6647

LCM = 11330007

Thus, we can understand that the LCM of 663,391,391,743 is 11330007.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 663, 391, 391, 743

1. What is the LCM of 663, 391, 391, 743?

Answer: LCM of 663, 391, 391, 743 is 11330007.

2. How to calculate the LCM of 663, 391, 391, 743?

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, 391, 391, 743.

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}.