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LCM of 239, 321, 965, 945, 675

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


Find the LCM of 239, 321, 965, 945, 675 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 239, 321, 965, 945, 675. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 239,321,965,945,675

Given numbers are 239,321,965,945,675

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

The LCM of 239,321,965,945,675 is 23320658025.

Find LCM of 239,321,965,945,675 with Prime Factorization


3 239, 321, 965, 945, 675
3 239, 107, 965, 315, 225
3 239, 107, 965, 105, 75
5 239, 107, 965, 35, 25
239, 107, 193, 7, 5

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

3 x 3 x 3 x 5 x 239 x 107 x 193 x 7 x 5 = 23320658025

Therefore, the lowest common multiple of 239,321,965,945,675 is 23320658025.

LCM Formula to Find Lowest Common Multiple of 239,321,965,945,675

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.

239 x 321 x 965 x 945 x 675 = 47224332500625

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.

239 : 1, 239

321 : 1, 3, 107, 321

965 : 1, 5, 193, 965

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,321,965,945,675, is 1.

Now, the common factors can be found like this.

239:239

321:3x 107

965:5x 193

945:3x 3x 3x 5x 7

675:3x 3x 3x 5x 5

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

3x 3x 3x 3x 5x 5 = 2025

Therefore, the value for common factors is 2025.

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 = 47224332500625/(1x2025)

LCM = 47224332500625/2025

LCM = 23320658025

Thus, we can understand that the LCM of 239,321,965,945,675 is 23320658025.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 239, 321, 965, 945, 675

1. What is the LCM of 239, 321, 965, 945, 675?

Answer: LCM of 239, 321, 965, 945, 675 is 23320658025.

2. How to calculate the LCM of 239, 321, 965, 945, 675?

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 239, 321, 965, 945, 675.

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}.