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LCM of 812, 341, 526, 841, 871

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


Find the LCM of 812, 341, 526, 841, 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 812, 341, 526, 841, 871. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,341,526,841,871

Given numbers are 812,341,526,841,871

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

The LCM of 812,341,526,841,871 is 1839425952364.

Find LCM of 812,341,526,841,871 with Prime Factorization


2 812, 341, 526, 841, 871
29 406, 341, 263, 841, 871
14, 341, 263, 29, 871

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

2 x 29 x 14 x 341 x 263 x 29 x 871 = 1839425952364

Therefore, the lowest common multiple of 812,341,526,841,871 is 1839425952364.

LCM Formula to Find Lowest Common Multiple of 812,341,526,841,871

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.

812 x 341 x 526 x 841 x 871 = 106686705237112

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

341 : 1, 11, 31, 341

526 : 1, 2, 263, 526

841 : 1, 29, 841

871 : 1, 13, 67, 871

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,341,526,841,871, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

341:11x 31

526:2x 263

841:29x 29

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.

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 106686705237112/(1x58)

LCM = 106686705237112/58

LCM = 1839425952364

Thus, we can understand that the LCM of 812,341,526,841,871 is 1839425952364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 341, 526, 841, 871

1. What is the LCM of 812, 341, 526, 841, 871?

Answer: LCM of 812, 341, 526, 841, 871 is 1839425952364.

2. How to calculate the LCM of 812, 341, 526, 841, 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 812, 341, 526, 841, 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}.