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LCM of 897, 347, 676, 882

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


Find the LCM of 897, 347, 676, 882 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, 347, 676, 882. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,347,676,882

Given numbers are 897,347,676,882

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

The LCM of 897,347,676,882 is 2379263796.

Find LCM of 897,347,676,882 with Prime Factorization


2 897, 347, 676, 882
3 897, 347, 338, 441
13 299, 347, 338, 147
23, 347, 26, 147

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

2 x 3 x 13 x 23 x 347 x 26 x 147 = 2379263796

Therefore, the lowest common multiple of 897,347,676,882 is 2379263796.

LCM Formula to Find Lowest Common Multiple of 897,347,676,882

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 347 x 676 x 882 = 185582576088

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

347 : 1, 347

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,347,676,882, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

347:347

676:2x 2x 13x 13

882:2x 3x 3x 7x 7

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

2x 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 185582576088/(1x78)

LCM = 185582576088/78

LCM = 2379263796

Thus, we can understand that the LCM of 897,347,676,882 is 2379263796.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 347, 676, 882

1. What is the LCM of 897, 347, 676, 882?

Answer: LCM of 897, 347, 676, 882 is 2379263796.

2. How to calculate the LCM of 897, 347, 676, 882?

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, 347, 676, 882.

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}.