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 642, 656, 665, 114, 466

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


Find the LCM of 642, 656, 665, 114, 466 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 642, 656, 665, 114, 466. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 642,656,665,114,466

Given numbers are 642,656,665,114,466

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

The LCM of 642,656,665,114,466 is 32627698320.

Find LCM of 642,656,665,114,466 with Prime Factorization


2 642, 656, 665, 114, 466
3 321, 328, 665, 57, 233
19 107, 328, 665, 19, 233
107, 328, 35, 1, 233

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

2 x 3 x 19 x 107 x 328 x 35 x 1 x 233 = 32627698320

Therefore, the lowest common multiple of 642,656,665,114,466 is 32627698320.

LCM Formula to Find Lowest Common Multiple of 642,656,665,114,466

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.

642 x 656 x 665 x 114 x 466 = 14878230433920

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.

642 : 1, 2, 3, 6, 107, 214, 321, 642

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

665 : 1, 5, 7, 19, 35, 95, 133, 665

114 : 1, 2, 3, 6, 19, 38, 57, 114

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,656,665,114,466, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

656:2x 2x 2x 2x 41

665:5x 7x 19

114:2x 3x 19

466:2x 233

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

2x 2x 2x 3x 19 = 456

Therefore, the value for common factors is 456.

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 = 14878230433920/(1x456)

LCM = 14878230433920/456

LCM = 32627698320

Thus, we can understand that the LCM of 642,656,665,114,466 is 32627698320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 642, 656, 665, 114, 466

1. What is the LCM of 642, 656, 665, 114, 466?

Answer: LCM of 642, 656, 665, 114, 466 is 32627698320.

2. How to calculate the LCM of 642, 656, 665, 114, 466?

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 642, 656, 665, 114, 466.

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}.