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LCM of 897, 272, 863, 377, 776

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


Find the LCM of 897, 272, 863, 377, 776 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 897, 272, 863, 377, 776. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,272,863,377,776

Given numbers are 897,272,863,377,776

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

The LCM of 897,272,863,377,776 is 592300194096.

Find LCM of 897,272,863,377,776 with Prime Factorization


2 897, 272, 863, 377, 776
2 897, 136, 863, 377, 388
2 897, 68, 863, 377, 194
13 897, 34, 863, 377, 97
69, 34, 863, 29, 97

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

2 x 2 x 2 x 13 x 69 x 34 x 863 x 29 x 97 = 592300194096

Therefore, the lowest common multiple of 897,272,863,377,776 is 592300194096.

LCM Formula to Find Lowest Common Multiple of 897,272,863,377,776

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.

897 x 272 x 863 x 377 x 776 = 61599220185984

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.

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

863 : 1, 863

377 : 1, 13, 29, 377

776 : 1, 2, 4, 8, 97, 194, 388, 776

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,272,863,377,776, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

272:2x 2x 2x 2x 17

863:863

377:13x 29

776:2x 2x 2x 97

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 13 = 104

Therefore, the value for common factors is 104.

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 = 61599220185984/(1x104)

LCM = 61599220185984/104

LCM = 592300194096

Thus, we can understand that the LCM of 897,272,863,377,776 is 592300194096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 272, 863, 377, 776

1. What is the LCM of 897, 272, 863, 377, 776?

Answer: LCM of 897, 272, 863, 377, 776 is 592300194096.

2. How to calculate the LCM of 897, 272, 863, 377, 776?

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 897, 272, 863, 377, 776.

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}.