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LCM of 664, 764, 732, 709, 401

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


Find the LCM of 664, 764, 732, 709, 401 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 664, 764, 732, 709, 401. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 664,764,732,709,401

Given numbers are 664,764,732,709,401

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

The LCM of 664,764,732,709,401 is 6598468444728.

Find LCM of 664,764,732,709,401 with Prime Factorization


2 664, 764, 732, 709, 401
2 332, 382, 366, 709, 401
166, 191, 183, 709, 401

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

2 x 2 x 166 x 191 x 183 x 709 x 401 = 6598468444728

Therefore, the lowest common multiple of 664,764,732,709,401 is 6598468444728.

LCM Formula to Find Lowest Common Multiple of 664,764,732,709,401

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.

664 x 764 x 732 x 709 x 401 = 105575495115648

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.

664 : 1, 2, 4, 8, 83, 166, 332, 664

764 : 1, 2, 4, 191, 382, 764

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

709 : 1, 709

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 664,764,732,709,401, is 1.

Now, the common factors can be found like this.

664:2x 2x 2x 83

764:2x 2x 191

732:2x 2x 3x 61

709:709

401:401

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 105575495115648/(1x16)

LCM = 105575495115648/16

LCM = 6598468444728

Thus, we can understand that the LCM of 664,764,732,709,401 is 6598468444728.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 664, 764, 732, 709, 401

1. What is the LCM of 664, 764, 732, 709, 401?

Answer: LCM of 664, 764, 732, 709, 401 is 6598468444728.

2. How to calculate the LCM of 664, 764, 732, 709, 401?

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 664, 764, 732, 709, 401.

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}.