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LCM of 897, 962, 102, 352

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


Find the LCM of 897, 962, 102, 352 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, 962, 102, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,962,102,352

Given numbers are 897,962,102,352

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

The LCM of 897,962,102,352 is 198602976.

Find LCM of 897,962,102,352 with Prime Factorization


2 897, 962, 102, 352
3 897, 481, 51, 176
13 299, 481, 17, 176
23, 37, 17, 176

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

2 x 3 x 13 x 23 x 37 x 17 x 176 = 198602976

Therefore, the lowest common multiple of 897,962,102,352 is 198602976.

LCM Formula to Find Lowest Common Multiple of 897,962,102,352

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 962 x 102 x 352 = 30982064256

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

962 : 1, 2, 13, 26, 37, 74, 481, 962

102 : 1, 2, 3, 6, 17, 34, 51, 102

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,962,102,352, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

962:2x 13x 37

102:2x 3x 17

352:2x 2x 2x 2x 2x 11

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 13 = 156

Therefore, the value for common factors is 156.

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 = 30982064256/(1x156)

LCM = 30982064256/156

LCM = 198602976

Thus, we can understand that the LCM of 897,962,102,352 is 198602976.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 962, 102, 352

1. What is the LCM of 897, 962, 102, 352?

Answer: LCM of 897, 962, 102, 352 is 198602976.

2. How to calculate the LCM of 897, 962, 102, 352?

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, 962, 102, 352.

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}.