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LCM of 897, 142, 418, 802

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


Find the LCM of 897, 142, 418, 802 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, 142, 418, 802. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,142,418,802

Given numbers are 897,142,418,802

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

The LCM of 897,142,418,802 is 10675087566.

Find LCM of 897,142,418,802 with Prime Factorization


2 897, 142, 418, 802
897, 71, 209, 401

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

2 x 897 x 71 x 209 x 401 = 10675087566

Therefore, the lowest common multiple of 897,142,418,802 is 10675087566.

LCM Formula to Find Lowest Common Multiple of 897,142,418,802

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 142 x 418 x 802 = 42700350264

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

142 : 1, 2, 71, 142

418 : 1, 2, 11, 19, 22, 38, 209, 418

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,142,418,802, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

142:2x 71

418:2x 11x 19

802:2x 401

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 42700350264/(1x4)

LCM = 42700350264/4

LCM = 10675087566

Thus, we can understand that the LCM of 897,142,418,802 is 10675087566.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 142, 418, 802

1. What is the LCM of 897, 142, 418, 802?

Answer: LCM of 897, 142, 418, 802 is 10675087566.

2. How to calculate the LCM of 897, 142, 418, 802?

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, 142, 418, 802.

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}.