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LCM of 222, 993, 926, 922

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


Find the LCM of 222, 993, 926, 922 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 222, 993, 926, 922. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 222,993,926,922

Given numbers are 222,993,926,922

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

The LCM of 222,993,926,922 is 15684218526.

Find LCM of 222,993,926,922 with Prime Factorization


2 222, 993, 926, 922
3 111, 993, 463, 461
37, 331, 463, 461

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

2 x 3 x 37 x 331 x 463 x 461 = 15684218526

Therefore, the lowest common multiple of 222,993,926,922 is 15684218526.

LCM Formula to Find Lowest Common Multiple of 222,993,926,922

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.

222 x 993 x 926 x 922 = 188210622312

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.

222 : 1, 2, 3, 6, 37, 74, 111, 222

993 : 1, 3, 331, 993

926 : 1, 2, 463, 926

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,993,926,922, is 1.

Now, the common factors can be found like this.

222:2x 3x 37

993:3x 331

926:2x 463

922:2x 461

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 188210622312/(1x12)

LCM = 188210622312/12

LCM = 15684218526

Thus, we can understand that the LCM of 222,993,926,922 is 15684218526.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 222, 993, 926, 922

1. What is the LCM of 222, 993, 926, 922?

Answer: LCM of 222, 993, 926, 922 is 15684218526.

2. How to calculate the LCM of 222, 993, 926, 922?

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 222, 993, 926, 922.

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}.