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LCM of 965, 933, 219, 260

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


Find the LCM of 965, 933, 219, 260 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, 933, 219, 260. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,933,219,260

Given numbers are 965,933,219,260

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

The LCM of 965,933,219,260 is 3417709620.

Find LCM of 965,933,219,260 with Prime Factorization


3 965, 933, 219, 260
5 965, 311, 73, 260
193, 311, 73, 52

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

3 x 5 x 193 x 311 x 73 x 52 = 3417709620

Therefore, the lowest common multiple of 965,933,219,260 is 3417709620.

LCM Formula to Find Lowest Common Multiple of 965,933,219,260

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 933 x 219 x 260 = 51265644300

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

933 : 1, 3, 311, 933

219 : 1, 3, 73, 219

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,933,219,260, is 1.

Now, the common factors can be found like this.

965:5x 193

933:3x 311

219:3x 73

260:2x 2x 5x 13

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 51265644300/(1x15)

LCM = 51265644300/15

LCM = 3417709620

Thus, we can understand that the LCM of 965,933,219,260 is 3417709620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 933, 219, 260

1. What is the LCM of 965, 933, 219, 260?

Answer: LCM of 965, 933, 219, 260 is 3417709620.

2. How to calculate the LCM of 965, 933, 219, 260?

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, 933, 219, 260.

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}.