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LCM of 993, 422, 814, 881

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


Find the LCM of 993, 422, 814, 881 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 993, 422, 814, 881. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,422,814,881

Given numbers are 993,422,814,881

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

The LCM of 993,422,814,881 is 150256067082.

Find LCM of 993,422,814,881 with Prime Factorization


2 993, 422, 814, 881
993, 211, 407, 881

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

2 x 993 x 211 x 407 x 881 = 150256067082

Therefore, the lowest common multiple of 993,422,814,881 is 150256067082.

LCM Formula to Find Lowest Common Multiple of 993,422,814,881

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.

993 x 422 x 814 x 881 = 300512134164

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.

993 : 1, 3, 331, 993

422 : 1, 2, 211, 422

814 : 1, 2, 11, 22, 37, 74, 407, 814

881 : 1, 881

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,422,814,881, is 1.

Now, the common factors can be found like this.

993:3x 331

422:2x 211

814:2x 11x 37

881:881

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 = 300512134164/(1x2)

LCM = 300512134164/2

LCM = 150256067082

Thus, we can understand that the LCM of 993,422,814,881 is 150256067082.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 422, 814, 881

1. What is the LCM of 993, 422, 814, 881?

Answer: LCM of 993, 422, 814, 881 is 150256067082.

2. How to calculate the LCM of 993, 422, 814, 881?

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 993, 422, 814, 881.

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}.