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LCM of 662, 218, 218, 617

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


Find the LCM of 662, 218, 218, 617 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 662, 218, 218, 617. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,218,218,617

Given numbers are 662,218,218,617

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

The LCM of 662,218,218,617 is 44521486.

Find LCM of 662,218,218,617 with Prime Factorization


2 662, 218, 218, 617
109 331, 109, 109, 617
331, 1, 1, 617

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

2 x 109 x 331 x 1 x 1 x 617 = 44521486

Therefore, the lowest common multiple of 662,218,218,617 is 44521486.

LCM Formula to Find Lowest Common Multiple of 662,218,218,617

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.

662 x 218 x 218 x 617 = 19411367896

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.

662 : 1, 2, 331, 662

218 : 1, 2, 109, 218

218 : 1, 2, 109, 218

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,218,218,617, is 1.

Now, the common factors can be found like this.

662:2x 331

218:2x 109

218:2x 109

617:617

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 109 = 436

Therefore, the value for common factors is 436.

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 = 19411367896/(1x436)

LCM = 19411367896/436

LCM = 44521486

Thus, we can understand that the LCM of 662,218,218,617 is 44521486.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 218, 218, 617

1. What is the LCM of 662, 218, 218, 617?

Answer: LCM of 662, 218, 218, 617 is 44521486.

2. How to calculate the LCM of 662, 218, 218, 617?

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 662, 218, 218, 617.

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}.