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LCM of 993, 993, 965, 188

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


Find the LCM of 993, 993, 965, 188 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, 993, 965, 188. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,993,965,188

Given numbers are 993,993,965,188

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

The LCM of 993,993,965,188 is 180150060.

Find LCM of 993,993,965,188 with Prime Factorization


3 993, 993, 965, 188
331 331, 331, 965, 188
1, 1, 965, 188

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

3 x 331 x 1 x 1 x 965 x 188 = 180150060

Therefore, the lowest common multiple of 993,993,965,188 is 180150060.

LCM Formula to Find Lowest Common Multiple of 993,993,965,188

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 993 x 965 x 188 = 178889009580

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

993 : 1, 3, 331, 993

965 : 1, 5, 193, 965

188 : 1, 2, 4, 47, 94, 188

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,993,965,188, is 1.

Now, the common factors can be found like this.

993:3x 331

993:3x 331

965:5x 193

188:2x 2x 47

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

3x 331 = 993

Therefore, the value for common factors is 993.

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 = 178889009580/(1x993)

LCM = 178889009580/993

LCM = 180150060

Thus, we can understand that the LCM of 993,993,965,188 is 180150060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 993, 965, 188

1. What is the LCM of 993, 993, 965, 188?

Answer: LCM of 993, 993, 965, 188 is 180150060.

2. How to calculate the LCM of 993, 993, 965, 188?

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, 993, 965, 188.

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}.