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LCM of 859, 626, 993, 742

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


Find the LCM of 859, 626, 993, 742 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 859, 626, 993, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 859,626,993,742

Given numbers are 859,626,993,742

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

The LCM of 859,626,993,742 is 198102818802.

Find LCM of 859,626,993,742 with Prime Factorization


2 859, 626, 993, 742
859, 313, 993, 371

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

2 x 859 x 313 x 993 x 371 = 198102818802

Therefore, the lowest common multiple of 859,626,993,742 is 198102818802.

LCM Formula to Find Lowest Common Multiple of 859,626,993,742

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.

859 x 626 x 993 x 742 = 396205637604

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.

859 : 1, 859

626 : 1, 2, 313, 626

993 : 1, 3, 331, 993

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,626,993,742, is 1.

Now, the common factors can be found like this.

859:859

626:2x 313

993:3x 331

742:2x 7x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 396205637604/(1x2)

LCM = 396205637604/2

LCM = 198102818802

Thus, we can understand that the LCM of 859,626,993,742 is 198102818802.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 859, 626, 993, 742

1. What is the LCM of 859, 626, 993, 742?

Answer: LCM of 859, 626, 993, 742 is 198102818802.

2. How to calculate the LCM of 859, 626, 993, 742?

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 859, 626, 993, 742.

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}.