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LCM of 897, 946, 864, 643

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


Find the LCM of 897, 946, 864, 643 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, 946, 864, 643. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,946,864,643

Given numbers are 897,946,864,643

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

The LCM of 897,946,864,643 is 78570052704.

Find LCM of 897,946,864,643 with Prime Factorization


2 897, 946, 864, 643
3 897, 473, 432, 643
299, 473, 144, 643

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

2 x 3 x 299 x 473 x 144 x 643 = 78570052704

Therefore, the lowest common multiple of 897,946,864,643 is 78570052704.

LCM Formula to Find Lowest Common Multiple of 897,946,864,643

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 946 x 864 x 643 = 471420316224

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

643 : 1, 643

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,946,864,643, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

946:2x 11x 43

864:2x 2x 2x 2x 2x 3x 3x 3

643:643

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 471420316224/(1x6)

LCM = 471420316224/6

LCM = 78570052704

Thus, we can understand that the LCM of 897,946,864,643 is 78570052704.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 946, 864, 643

1. What is the LCM of 897, 946, 864, 643?

Answer: LCM of 897, 946, 864, 643 is 78570052704.

2. How to calculate the LCM of 897, 946, 864, 643?

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, 946, 864, 643.

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}.