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LCM of 965, 945, 370, 409

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


Find the LCM of 965, 945, 370, 409 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 965, 945, 370, 409. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,945,370,409

Given numbers are 965,945,370,409

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

The LCM of 965,945,370,409 is 5520064410.

Find LCM of 965,945,370,409 with Prime Factorization


5 965, 945, 370, 409
193, 189, 74, 409

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

5 x 193 x 189 x 74 x 409 = 5520064410

Therefore, the lowest common multiple of 965,945,370,409 is 5520064410.

LCM Formula to Find Lowest Common Multiple of 965,945,370,409

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.

965 x 945 x 370 x 409 = 138001610250

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.

965 : 1, 5, 193, 965

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

370 : 1, 2, 5, 10, 37, 74, 185, 370

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,945,370,409, is 1.

Now, the common factors can be found like this.

965:5x 193

945:3x 3x 3x 5x 7

370:2x 5x 37

409:409

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 138001610250/(1x25)

LCM = 138001610250/25

LCM = 5520064410

Thus, we can understand that the LCM of 965,945,370,409 is 5520064410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 945, 370, 409

1. What is the LCM of 965, 945, 370, 409?

Answer: LCM of 965, 945, 370, 409 is 5520064410.

2. How to calculate the LCM of 965, 945, 370, 409?

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 965, 945, 370, 409.

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}.