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LCM of 993, 331, 158

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


Find the LCM of 993, 331, 158 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, 331, 158. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,331,158

Given numbers are 993,331,158

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

The LCM of 993,331,158 is 156894.

Find LCM of 993,331,158 with Prime Factorization


331 993, 331, 158
3, 1, 158

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

331 x 3 x 1 x 158 = 156894

Therefore, the lowest common multiple of 993,331,158 is 156894.

LCM Formula to Find Lowest Common Multiple of 993,331,158

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 331 x 158 = 51931914

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

331 : 1, 331

158 : 1, 2, 79, 158

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,331,158, is 1.

Now, the common factors can be found like this.

993:3x 331

331:331

158:2x 79

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

331 = 331

Therefore, the value for common factors is 331.

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 = 51931914/(1x331)

LCM = 51931914/331

LCM = 156894

Thus, we can understand that the LCM of 993,331,158 is 156894.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 993, 331, 158

1. What is the LCM of 993, 331, 158?

Answer: LCM of 993, 331, 158 is 156894.

2. How to calculate the LCM of 993, 331, 158?

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, 331, 158.

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}.