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 241, 811, 183, 360, 462

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


Find the LCM of 241, 811, 183, 360, 462 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 241, 811, 183, 360, 462. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,811,183,360,462

Given numbers are 241,811,183,360,462

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

The LCM of 241,811,183,360,462 is 330492004920.

Find LCM of 241,811,183,360,462 with Prime Factorization


2 241, 811, 183, 360, 462
3 241, 811, 183, 180, 231
241, 811, 61, 60, 77

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

2 x 3 x 241 x 811 x 61 x 60 x 77 = 330492004920

Therefore, the lowest common multiple of 241,811,183,360,462 is 330492004920.

LCM Formula to Find Lowest Common Multiple of 241,811,183,360,462

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.

241 x 811 x 183 x 360 x 462 = 5948856088560

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.

241 : 1, 241

811 : 1, 811

183 : 1, 3, 61, 183

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,811,183,360,462, is 1.

Now, the common factors can be found like this.

241:241

811:811

183:3x 61

360:2x 2x 2x 3x 3x 5

462:2x 3x 7x 11

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 5948856088560/(1x18)

LCM = 5948856088560/18

LCM = 330492004920

Thus, we can understand that the LCM of 241,811,183,360,462 is 330492004920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 811, 183, 360, 462

1. What is the LCM of 241, 811, 183, 360, 462?

Answer: LCM of 241, 811, 183, 360, 462 is 330492004920.

2. How to calculate the LCM of 241, 811, 183, 360, 462?

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 241, 811, 183, 360, 462.

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}.