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LCM of 286, 442, 572, 897

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


Find the LCM of 286, 442, 572, 897 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 286, 442, 572, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 286,442,572,897

Given numbers are 286,442,572,897

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

The LCM of 286,442,572,897 is 670956.

Find LCM of 286,442,572,897 with Prime Factorization


2 286, 442, 572, 897
11 143, 221, 286, 897
13 13, 221, 26, 897
1, 17, 2, 69

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

2 x 11 x 13 x 1 x 17 x 2 x 69 = 670956

Therefore, the lowest common multiple of 286,442,572,897 is 670956.

LCM Formula to Find Lowest Common Multiple of 286,442,572,897

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.

286 x 442 x 572 x 897 = 64859974608

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

442 : 1, 2, 13, 17, 26, 34, 221, 442

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,442,572,897, is 13.

Now, the common factors can be found like this.

286:2x 11x 13

442:2x 13x 17

572:2x 2x 11x 13

897:3x 13x 23

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 11x 13x 13 = 7436

Therefore, the value for common factors is 7436.

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 = 64859974608/(13x7436)

LCM = 64859974608/96668

LCM = 670956

Thus, we can understand that the LCM of 286,442,572,897 is 670956.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 286, 442, 572, 897

1. What is the LCM of 286, 442, 572, 897?

Answer: LCM of 286, 442, 572, 897 is 670956.

2. How to calculate the LCM of 286, 442, 572, 897?

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 286, 442, 572, 897.

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}.