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LCM of 673, 871, 858, 812

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


Find the LCM of 673, 871, 858, 812 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 673, 871, 858, 812. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 673,871,858,812

Given numbers are 673,871,858,812

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

The LCM of 673,871,858,812 is 15707359668.

Find LCM of 673,871,858,812 with Prime Factorization


2 673, 871, 858, 812
13 673, 871, 429, 406
673, 67, 33, 406

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

2 x 13 x 673 x 67 x 33 x 406 = 15707359668

Therefore, the lowest common multiple of 673,871,858,812 is 15707359668.

LCM Formula to Find Lowest Common Multiple of 673,871,858,812

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.

673 x 871 x 858 x 812 = 408391351368

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.

673 : 1, 673

871 : 1, 13, 67, 871

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,871,858,812, is 1.

Now, the common factors can be found like this.

673:673

871:13x 67

858:2x 3x 11x 13

812:2x 2x 7x 29

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 408391351368/(1x26)

LCM = 408391351368/26

LCM = 15707359668

Thus, we can understand that the LCM of 673,871,858,812 is 15707359668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 673, 871, 858, 812

1. What is the LCM of 673, 871, 858, 812?

Answer: LCM of 673, 871, 858, 812 is 15707359668.

2. How to calculate the LCM of 673, 871, 858, 812?

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 673, 871, 858, 812.

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}.