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LCM of 991, 965, 606, 303, 329

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


Find the LCM of 991, 965, 606, 303, 329 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 991, 965, 606, 303, 329. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 991,965,606,303,329

Given numbers are 991,965,606,303,329

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

The LCM of 991,965,606,303,329 is 190664346810.

Find LCM of 991,965,606,303,329 with Prime Factorization


3 991, 965, 606, 303, 329
101 991, 965, 202, 101, 329
991, 965, 2, 1, 329

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

3 x 101 x 991 x 965 x 2 x 1 x 329 = 190664346810

Therefore, the lowest common multiple of 991,965,606,303,329 is 190664346810.

LCM Formula to Find Lowest Common Multiple of 991,965,606,303,329

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.

991 x 965 x 606 x 303 x 329 = 57771297083430

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.

991 : 1, 991

965 : 1, 5, 193, 965

606 : 1, 2, 3, 6, 101, 202, 303, 606

303 : 1, 3, 101, 303

329 : 1, 7, 47, 329

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 991,965,606,303,329, is 1.

Now, the common factors can be found like this.

991:991

965:5x 193

606:2x 3x 101

303:3x 101

329:7x 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 101 = 303

Therefore, the value for common factors is 303.

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 = 57771297083430/(1x303)

LCM = 57771297083430/303

LCM = 190664346810

Thus, we can understand that the LCM of 991,965,606,303,329 is 190664346810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 991, 965, 606, 303, 329

1. What is the LCM of 991, 965, 606, 303, 329?

Answer: LCM of 991, 965, 606, 303, 329 is 190664346810.

2. How to calculate the LCM of 991, 965, 606, 303, 329?

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 991, 965, 606, 303, 329.

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}.