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LCM of 463, 851, 592, 871

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


Find the LCM of 463, 851, 592, 871 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, 851, 592, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,851,592,871

Given numbers are 463,851,592,871

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

The LCM of 463,851,592,871 is 5490965168.

Find LCM of 463,851,592,871 with Prime Factorization


37 463, 851, 592, 871
463, 23, 16, 871

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

37 x 463 x 23 x 16 x 871 = 5490965168

Therefore, the lowest common multiple of 463,851,592,871 is 5490965168.

LCM Formula to Find Lowest Common Multiple of 463,851,592,871

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 851 x 592 x 871 = 203165711216

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

851 : 1, 23, 37, 851

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,851,592,871, is 1.

Now, the common factors can be found like this.

463:463

851:23x 37

592:2x 2x 2x 2x 37

871:13x 67

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

37 = 37

Therefore, the value for common factors is 37.

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 = 203165711216/(1x37)

LCM = 203165711216/37

LCM = 5490965168

Thus, we can understand that the LCM of 463,851,592,871 is 5490965168.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 851, 592, 871

1. What is the LCM of 463, 851, 592, 871?

Answer: LCM of 463, 851, 592, 871 is 5490965168.

2. How to calculate the LCM of 463, 851, 592, 871?

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, 851, 592, 871.

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}.