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LCM of 657, 219, 344, 717

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


Find the LCM of 657, 219, 344, 717 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 657, 219, 344, 717. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 657,219,344,717

Given numbers are 657,219,344,717

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

The LCM of 657,219,344,717 is 54015912.

Find LCM of 657,219,344,717 with Prime Factorization


3 657, 219, 344, 717
73 219, 73, 344, 239
3, 1, 344, 239

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

3 x 73 x 3 x 1 x 344 x 239 = 54015912

Therefore, the lowest common multiple of 657,219,344,717 is 54015912.

LCM Formula to Find Lowest Common Multiple of 657,219,344,717

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.

657 x 219 x 344 x 717 = 35488454184

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.

657 : 1, 3, 9, 73, 219, 657

219 : 1, 3, 73, 219

344 : 1, 2, 4, 8, 43, 86, 172, 344

717 : 1, 3, 239, 717

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 657,219,344,717, is 1.

Now, the common factors can be found like this.

657:3x 3x 73

219:3x 73

344:2x 2x 2x 43

717:3x 239

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

3x 3x 73 = 657

Therefore, the value for common factors is 657.

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 = 35488454184/(1x657)

LCM = 35488454184/657

LCM = 54015912

Thus, we can understand that the LCM of 657,219,344,717 is 54015912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 657, 219, 344, 717

1. What is the LCM of 657, 219, 344, 717?

Answer: LCM of 657, 219, 344, 717 is 54015912.

2. How to calculate the LCM of 657, 219, 344, 717?

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 657, 219, 344, 717.

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}.