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LCM of 735, 687, 462, 829, 519

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


Find the LCM of 735, 687, 462, 829, 519 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 735, 687, 462, 829, 519. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 735,687,462,829,519

Given numbers are 735,687,462,829,519

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

The LCM of 735,687,462,829,519 is 531063111810.

Find LCM of 735,687,462,829,519 with Prime Factorization


3 735, 687, 462, 829, 519
7 245, 229, 154, 829, 173
35, 229, 22, 829, 173

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

3 x 7 x 35 x 229 x 22 x 829 x 173 = 531063111810

Therefore, the lowest common multiple of 735,687,462,829,519 is 531063111810.

LCM Formula to Find Lowest Common Multiple of 735,687,462,829,519

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.

735 x 687 x 462 x 829 x 519 = 100370928132090

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

687 : 1, 3, 229, 687

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

829 : 1, 829

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,687,462,829,519, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

687:3x 229

462:2x 3x 7x 11

829:829

519:3x 173

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

3x 3x 3x 7 = 189

Therefore, the value for common factors is 189.

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 = 100370928132090/(1x189)

LCM = 100370928132090/189

LCM = 531063111810

Thus, we can understand that the LCM of 735,687,462,829,519 is 531063111810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 735, 687, 462, 829, 519

1. What is the LCM of 735, 687, 462, 829, 519?

Answer: LCM of 735, 687, 462, 829, 519 is 531063111810.

2. How to calculate the LCM of 735, 687, 462, 829, 519?

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 735, 687, 462, 829, 519.

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}.