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LCM of 273, 716, 897, 772, 936

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


Find the LCM of 273, 716, 897, 772, 936 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 273, 716, 897, 772, 936. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 273,716,897,772,936

Given numbers are 273,716,897,772,936

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

The LCM of 273,716,897,772,936 is 5206094712.

Find LCM of 273,716,897,772,936 with Prime Factorization


2 273, 716, 897, 772, 936
2 273, 358, 897, 386, 468
3 273, 179, 897, 193, 234
13 91, 179, 299, 193, 78
7, 179, 23, 193, 6

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

2 x 2 x 3 x 13 x 7 x 179 x 23 x 193 x 6 = 5206094712

Therefore, the lowest common multiple of 273,716,897,772,936 is 5206094712.

LCM Formula to Find Lowest Common Multiple of 273,716,897,772,936

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.

273 x 716 x 897 x 772 x 936 = 126695520911232

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.

273 : 1, 3, 7, 13, 21, 39, 91, 273

716 : 1, 2, 4, 179, 358, 716

897 : 1, 3, 13, 23, 39, 69, 299, 897

772 : 1, 2, 4, 193, 386, 772

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 273,716,897,772,936, is 1.

Now, the common factors can be found like this.

273:3x 7x 13

716:2x 2x 179

897:3x 13x 23

772:2x 2x 193

936:2x 2x 2x 3x 3x 13

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 2x 3x 3x 13x 13 = 24336

Therefore, the value for common factors is 24336.

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 = 126695520911232/(1x24336)

LCM = 126695520911232/24336

LCM = 5206094712

Thus, we can understand that the LCM of 273,716,897,772,936 is 5206094712.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 273, 716, 897, 772, 936

1. What is the LCM of 273, 716, 897, 772, 936?

Answer: LCM of 273, 716, 897, 772, 936 is 5206094712.

2. How to calculate the LCM of 273, 716, 897, 772, 936?

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 273, 716, 897, 772, 936.

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}.