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LCM of 463, 897, 834, 103, 622

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


Find the LCM of 463, 897, 834, 103, 622 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 463, 897, 834, 103, 622. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,897,834,103,622

Given numbers are 463,897,834,103,622

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

The LCM of 463,897,834,103,622 is 3698416719114.

Find LCM of 463,897,834,103,622 with Prime Factorization


2 463, 897, 834, 103, 622
3 463, 897, 417, 103, 311
463, 299, 139, 103, 311

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

2 x 3 x 463 x 299 x 139 x 103 x 311 = 3698416719114

Therefore, the lowest common multiple of 463,897,834,103,622 is 3698416719114.

LCM Formula to Find Lowest Common Multiple of 463,897,834,103,622

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.

463 x 897 x 834 x 103 x 622 = 22190500314684

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.

463 : 1, 463

897 : 1, 3, 13, 23, 39, 69, 299, 897

834 : 1, 2, 3, 6, 139, 278, 417, 834

103 : 1, 103

622 : 1, 2, 311, 622

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,897,834,103,622, is 1.

Now, the common factors can be found like this.

463:463

897:3x 13x 23

834:2x 3x 139

103:103

622:2x 311

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 22190500314684/(1x6)

LCM = 22190500314684/6

LCM = 3698416719114

Thus, we can understand that the LCM of 463,897,834,103,622 is 3698416719114.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 897, 834, 103, 622

1. What is the LCM of 463, 897, 834, 103, 622?

Answer: LCM of 463, 897, 834, 103, 622 is 3698416719114.

2. How to calculate the LCM of 463, 897, 834, 103, 622?

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 463, 897, 834, 103, 622.

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}.