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 387, 572, 935, 516

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


Find the LCM of 387, 572, 935, 516 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 387, 572, 935, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 387,572,935,516

Given numbers are 387,572,935,516

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

The LCM of 387,572,935,516 is 18815940.

Find LCM of 387,572,935,516 with Prime Factorization


2 387, 572, 935, 516
2 387, 286, 935, 258
3 387, 143, 935, 129
11 43, 143, 935, 129
43 43, 13, 85, 129
1, 13, 85, 3

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

2 x 2 x 3 x 11 x 43 x 1 x 13 x 85 x 3 = 18815940

Therefore, the lowest common multiple of 387,572,935,516 is 18815940.

LCM Formula to Find Lowest Common Multiple of 387,572,935,516

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.

387 x 572 x 935 x 516 = 106799275440

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.

387 : 1, 3, 9, 43, 129, 387

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

935 : 1, 5, 11, 17, 55, 85, 187, 935

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,572,935,516, is 1.

Now, the common factors can be found like this.

387:3x 3x 43

572:2x 2x 11x 13

935:5x 11x 17

516:2x 2x 3x 43

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 3x 11x 43 = 5676

Therefore, the value for common factors is 5676.

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 = 106799275440/(1x5676)

LCM = 106799275440/5676

LCM = 18815940

Thus, we can understand that the LCM of 387,572,935,516 is 18815940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 387, 572, 935, 516

1. What is the LCM of 387, 572, 935, 516?

Answer: LCM of 387, 572, 935, 516 is 18815940.

2. How to calculate the LCM of 387, 572, 935, 516?

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 387, 572, 935, 516.

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}.