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LCM of 897, 966, 330, 416

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


Find the LCM of 897, 966, 330, 416 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, 966, 330, 416. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,966,330,416

Given numbers are 897,966,330,416

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

The LCM of 897,966,330,416 is 11051040.

Find LCM of 897,966,330,416 with Prime Factorization


2 897, 966, 330, 416
3 897, 483, 165, 208
13 299, 161, 55, 208
23 23, 161, 55, 16
1, 7, 55, 16

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

2 x 3 x 13 x 23 x 1 x 7 x 55 x 16 = 11051040

Therefore, the lowest common multiple of 897,966,330,416 is 11051040.

LCM Formula to Find Lowest Common Multiple of 897,966,330,416

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 966 x 330 x 416 = 118953394560

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,966,330,416, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

966:2x 3x 7x 23

330:2x 3x 5x 11

416:2x 2x 2x 2x 2x 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 3x 3x 13x 23 = 10764

Therefore, the value for common factors is 10764.

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 = 118953394560/(1x10764)

LCM = 118953394560/10764

LCM = 11051040

Thus, we can understand that the LCM of 897,966,330,416 is 11051040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 966, 330, 416

1. What is the LCM of 897, 966, 330, 416?

Answer: LCM of 897, 966, 330, 416 is 11051040.

2. How to calculate the LCM of 897, 966, 330, 416?

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, 966, 330, 416.

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}.