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LCM of 897, 364, 574, 664

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


Find the LCM of 897, 364, 574, 664 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, 364, 574, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,364,574,664

Given numbers are 897,364,574,664

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

The LCM of 897,364,574,664 is 170939496.

Find LCM of 897,364,574,664 with Prime Factorization


2 897, 364, 574, 664
2 897, 182, 287, 332
7 897, 91, 287, 166
13 897, 13, 41, 166
69, 1, 41, 166

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

2 x 2 x 7 x 13 x 69 x 1 x 41 x 166 = 170939496

Therefore, the lowest common multiple of 897,364,574,664 is 170939496.

LCM Formula to Find Lowest Common Multiple of 897,364,574,664

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 364 x 574 x 664 = 124443953088

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

574 : 1, 2, 7, 14, 41, 82, 287, 574

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,364,574,664, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

364:2x 2x 7x 13

574:2x 7x 41

664:2x 2x 2x 83

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 7x 13 = 728

Therefore, the value for common factors is 728.

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 = 124443953088/(1x728)

LCM = 124443953088/728

LCM = 170939496

Thus, we can understand that the LCM of 897,364,574,664 is 170939496.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 364, 574, 664

1. What is the LCM of 897, 364, 574, 664?

Answer: LCM of 897, 364, 574, 664 is 170939496.

2. How to calculate the LCM of 897, 364, 574, 664?

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, 364, 574, 664.

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}.