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 537, 520, 339, 721, 780

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


Find the LCM of 537, 520, 339, 721, 780 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 537, 520, 339, 721, 780. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 537,520,339,721,780

Given numbers are 537,520,339,721,780

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

The LCM of 537,520,339,721,780 is 22750520520.

Find LCM of 537,520,339,721,780 with Prime Factorization


2 537, 520, 339, 721, 780
2 537, 260, 339, 721, 390
3 537, 130, 339, 721, 195
5 179, 130, 113, 721, 65
13 179, 26, 113, 721, 13
179, 2, 113, 721, 1

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

2 x 2 x 3 x 5 x 13 x 179 x 2 x 113 x 721 x 1 = 22750520520

Therefore, the lowest common multiple of 537,520,339,721,780 is 22750520520.

LCM Formula to Find Lowest Common Multiple of 537,520,339,721,780

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.

537 x 520 x 339 x 721 x 780 = 53236218016800

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.

537 : 1, 3, 179, 537

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

339 : 1, 3, 113, 339

721 : 1, 7, 103, 721

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,520,339,721,780, is 1.

Now, the common factors can be found like this.

537:3x 179

520:2x 2x 2x 5x 13

339:3x 113

721:7x 103

780:2x 2x 3x 5x 13

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 3x 5x 13 = 2340

Therefore, the value for common factors is 2340.

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 = 53236218016800/(1x2340)

LCM = 53236218016800/2340

LCM = 22750520520

Thus, we can understand that the LCM of 537,520,339,721,780 is 22750520520.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 537, 520, 339, 721, 780

1. What is the LCM of 537, 520, 339, 721, 780?

Answer: LCM of 537, 520, 339, 721, 780 is 22750520520.

2. How to calculate the LCM of 537, 520, 339, 721, 780?

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 537, 520, 339, 721, 780.

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}.