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LCM of 965, 604, 194, 865

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


Find the LCM of 965, 604, 194, 865 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, 604, 194, 865. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 965,604,194,865

Given numbers are 965,604,194,865

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

The LCM of 965,604,194,865 is 9780973660.

Find LCM of 965,604,194,865 with Prime Factorization


2 965, 604, 194, 865
5 965, 302, 97, 865
193, 302, 97, 173

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

2 x 5 x 193 x 302 x 97 x 173 = 9780973660

Therefore, the lowest common multiple of 965,604,194,865 is 9780973660.

LCM Formula to Find Lowest Common Multiple of 965,604,194,865

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 604 x 194 x 865 = 97809736600

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

604 : 1, 2, 4, 151, 302, 604

194 : 1, 2, 97, 194

865 : 1, 5, 173, 865

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 965,604,194,865, is 1.

Now, the common factors can be found like this.

965:5x 193

604:2x 2x 151

194:2x 97

865:5x 173

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 97809736600/(1x10)

LCM = 97809736600/10

LCM = 9780973660

Thus, we can understand that the LCM of 965,604,194,865 is 9780973660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 965, 604, 194, 865

1. What is the LCM of 965, 604, 194, 865?

Answer: LCM of 965, 604, 194, 865 is 9780973660.

2. How to calculate the LCM of 965, 604, 194, 865?

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, 604, 194, 865.

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}.