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LCM of 729, 814, 892, 196, 495

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


Find the LCM of 729, 814, 892, 196, 495 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, 814, 892, 196, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 729,814,892,196,495

Given numbers are 729,814,892,196,495

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

The LCM of 729,814,892,196,495 is 64841473620.

Find LCM of 729,814,892,196,495 with Prime Factorization


2 729, 814, 892, 196, 495
2 729, 407, 446, 98, 495
3 729, 407, 223, 49, 495
3 243, 407, 223, 49, 165
11 81, 407, 223, 49, 55
81, 37, 223, 49, 5

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

2 x 2 x 3 x 3 x 11 x 81 x 37 x 223 x 49 x 5 = 64841473620

Therefore, the lowest common multiple of 729,814,892,196,495 is 64841473620.

LCM Formula to Find Lowest Common Multiple of 729,814,892,196,495

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 814 x 892 x 196 x 495 = 51354447107040

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

892 : 1, 2, 4, 223, 446, 892

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,814,892,196,495, is 1.

Now, the common factors can be found like this.

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

814:2x 11x 37

892:2x 2x 223

196:2x 2x 7x 7

495:3x 3x 5x 11

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 2x 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 51354447107040/(1x792)

LCM = 51354447107040/792

LCM = 64841473620

Thus, we can understand that the LCM of 729,814,892,196,495 is 64841473620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 729, 814, 892, 196, 495

1. What is the LCM of 729, 814, 892, 196, 495?

Answer: LCM of 729, 814, 892, 196, 495 is 64841473620.

2. How to calculate the LCM of 729, 814, 892, 196, 495?

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, 814, 892, 196, 495.

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}.