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LCM of 247, 729, 689, 518

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


Find the LCM of 247, 729, 689, 518 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 247, 729, 689, 518. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,729,689,518

Given numbers are 247,729,689,518

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

The LCM of 247,729,689,518 is 4943449602.

Find LCM of 247,729,689,518 with Prime Factorization


13 247, 729, 689, 518
19, 729, 53, 518

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

13 x 19 x 729 x 53 x 518 = 4943449602

Therefore, the lowest common multiple of 247,729,689,518 is 4943449602.

LCM Formula to Find Lowest Common Multiple of 247,729,689,518

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.

247 x 729 x 689 x 518 = 64264844826

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.

247 : 1, 13, 19, 247

729 : 1, 3, 9, 27, 81, 243, 729

689 : 1, 13, 53, 689

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,729,689,518, is 1.

Now, the common factors can be found like this.

247:13x 19

729:3x 3x 3x 3x 3x 3

689:13x 53

518:2x 7x 37

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

13 = 13

Therefore, the value for common factors is 13.

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 = 64264844826/(1x13)

LCM = 64264844826/13

LCM = 4943449602

Thus, we can understand that the LCM of 247,729,689,518 is 4943449602.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 729, 689, 518

1. What is the LCM of 247, 729, 689, 518?

Answer: LCM of 247, 729, 689, 518 is 4943449602.

2. How to calculate the LCM of 247, 729, 689, 518?

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 247, 729, 689, 518.

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}.