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 687, 612, 533, 745

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


Find the LCM of 687, 612, 533, 745 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 687, 612, 533, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 687,612,533,745

Given numbers are 687,612,533,745

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

The LCM of 687,612,533,745 is 55650668580.

Find LCM of 687,612,533,745 with Prime Factorization


3 687, 612, 533, 745
229, 204, 533, 745

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

3 x 229 x 204 x 533 x 745 = 55650668580

Therefore, the lowest common multiple of 687,612,533,745 is 55650668580.

LCM Formula to Find Lowest Common Multiple of 687,612,533,745

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.

687 x 612 x 533 x 745 = 166952005740

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.

687 : 1, 3, 229, 687

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

533 : 1, 13, 41, 533

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 687,612,533,745, is 1.

Now, the common factors can be found like this.

687:3x 229

612:2x 2x 3x 3x 17

533:13x 41

745:5x 149

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 = 166952005740/(1x3)

LCM = 166952005740/3

LCM = 55650668580

Thus, we can understand that the LCM of 687,612,533,745 is 55650668580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 687, 612, 533, 745

1. What is the LCM of 687, 612, 533, 745?

Answer: LCM of 687, 612, 533, 745 is 55650668580.

2. How to calculate the LCM of 687, 612, 533, 745?

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 687, 612, 533, 745.

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}.