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 380, 814, 566, 726, 730

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


Find the LCM of 380, 814, 566, 726, 730 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 380, 814, 566, 726, 730. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 380,814,566,726,730

Given numbers are 380,814,566,726,730

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

The LCM of 380,814,566,726,730 is 105438991020.

Find LCM of 380,814,566,726,730 with Prime Factorization


2 380, 814, 566, 726, 730
5 190, 407, 283, 363, 365
11 38, 407, 283, 363, 73
38, 37, 283, 33, 73

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

2 x 5 x 11 x 38 x 37 x 283 x 33 x 73 = 105438991020

Therefore, the lowest common multiple of 380,814,566,726,730 is 105438991020.

LCM Formula to Find Lowest Common Multiple of 380,814,566,726,730

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.

380 x 814 x 566 x 726 x 730 = 92786312097600

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

814 : 1, 2, 11, 22, 37, 74, 407, 814

566 : 1, 2, 283, 566

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

730 : 1, 2, 5, 10, 73, 146, 365, 730

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,814,566,726,730, is 2.

Now, the common factors can be found like this.

380:2x 2x 5x 19

814:2x 11x 37

566:2x 283

726:2x 3x 11x 11

730:2x 5x 73

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 5x 11 = 440

Therefore, the value for common factors is 440.

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 = 92786312097600/(2x440)

LCM = 92786312097600/880

LCM = 105438991020

Thus, we can understand that the LCM of 380,814,566,726,730 is 105438991020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 380, 814, 566, 726, 730

1. What is the LCM of 380, 814, 566, 726, 730?

Answer: LCM of 380, 814, 566, 726, 730 is 105438991020.

2. How to calculate the LCM of 380, 814, 566, 726, 730?

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 380, 814, 566, 726, 730.

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}.