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 515, 229, 687, 199, 745

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


Find the LCM of 515, 229, 687, 199, 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 515, 229, 687, 199, 745. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,229,687,199,745

Given numbers are 515,229,687,199,745

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

The LCM of 515,229,687,199,745 is 10490672055.

Find LCM of 515,229,687,199,745 with Prime Factorization


5 515, 229, 687, 199, 745
229 103, 229, 687, 199, 149
103, 1, 3, 199, 149

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

5 x 229 x 103 x 1 x 3 x 199 x 149 = 10490672055

Therefore, the lowest common multiple of 515,229,687,199,745 is 10490672055.

LCM Formula to Find Lowest Common Multiple of 515,229,687,199,745

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.

515 x 229 x 687 x 199 x 745 = 12011819502975

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.

515 : 1, 5, 103, 515

229 : 1, 229

687 : 1, 3, 229, 687

199 : 1, 199

745 : 1, 5, 149, 745

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,229,687,199,745, is 1.

Now, the common factors can be found like this.

515:5x 103

229:229

687:3x 229

199:199

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.

5x 229 = 1145

Therefore, the value for common factors is 1145.

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 = 12011819502975/(1x1145)

LCM = 12011819502975/1145

LCM = 10490672055

Thus, we can understand that the LCM of 515,229,687,199,745 is 10490672055.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 229, 687, 199, 745

1. What is the LCM of 515, 229, 687, 199, 745?

Answer: LCM of 515, 229, 687, 199, 745 is 10490672055.

2. How to calculate the LCM of 515, 229, 687, 199, 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 515, 229, 687, 199, 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}.