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LCM of 729, 655, 822, 114, 562

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


Find the LCM of 729, 655, 822, 114, 562 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, 655, 822, 114, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 729,655,822,114,562

Given numbers are 729,655,822,114,562

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

The LCM of 729,655,822,114,562 is 698520750570.

Find LCM of 729,655,822,114,562 with Prime Factorization


2 729, 655, 822, 114, 562
3 729, 655, 411, 57, 281
243, 655, 137, 19, 281

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

2 x 3 x 243 x 655 x 137 x 19 x 281 = 698520750570

Therefore, the lowest common multiple of 729,655,822,114,562 is 698520750570.

LCM Formula to Find Lowest Common Multiple of 729,655,822,114,562

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 655 x 822 x 114 x 562 = 25146747020520

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

655 : 1, 5, 131, 655

822 : 1, 2, 3, 6, 137, 274, 411, 822

114 : 1, 2, 3, 6, 19, 38, 57, 114

562 : 1, 2, 281, 562

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,655,822,114,562, is 1.

Now, the common factors can be found like this.

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

655:5x 131

822:2x 3x 137

114:2x 3x 19

562:2x 281

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 3 = 36

Therefore, the value for common factors is 36.

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 = 25146747020520/(1x36)

LCM = 25146747020520/36

LCM = 698520750570

Thus, we can understand that the LCM of 729,655,822,114,562 is 698520750570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 729, 655, 822, 114, 562

1. What is the LCM of 729, 655, 822, 114, 562?

Answer: LCM of 729, 655, 822, 114, 562 is 698520750570.

2. How to calculate the LCM of 729, 655, 822, 114, 562?

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, 655, 822, 114, 562.

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}.