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LCM of 729, 658, 705, 569

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


Find the LCM of 729, 658, 705, 569 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 729, 658, 705, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 729,658,705,569

Given numbers are 729,658,705,569

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

The LCM of 729,658,705,569 is 1364695290.

Find LCM of 729,658,705,569 with Prime Factorization


3 729, 658, 705, 569
47 243, 658, 235, 569
243, 14, 5, 569

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

3 x 47 x 243 x 14 x 5 x 569 = 1364695290

Therefore, the lowest common multiple of 729,658,705,569 is 1364695290.

LCM Formula to Find Lowest Common Multiple of 729,658,705,569

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.

729 x 658 x 705 x 569 = 192422035890

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.

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

705 : 1, 3, 5, 15, 47, 141, 235, 705

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,658,705,569, is 1.

Now, the common factors can be found like this.

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

658:2x 7x 47

705:3x 5x 47

569:569

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

3x 47 = 141

Therefore, the value for common factors is 141.

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 = 192422035890/(1x141)

LCM = 192422035890/141

LCM = 1364695290

Thus, we can understand that the LCM of 729,658,705,569 is 1364695290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 729, 658, 705, 569

1. What is the LCM of 729, 658, 705, 569?

Answer: LCM of 729, 658, 705, 569 is 1364695290.

2. How to calculate the LCM of 729, 658, 705, 569?

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 729, 658, 705, 569.

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}.