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LCM of 617, 205, 595, 738

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


Find the LCM of 617, 205, 595, 738 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 617, 205, 595, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 617,205,595,738

Given numbers are 617,205,595,738

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

The LCM of 617,205,595,738 is 270930870.

Find LCM of 617,205,595,738 with Prime Factorization


5 617, 205, 595, 738
41 617, 41, 119, 738
617, 1, 119, 18

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

5 x 41 x 617 x 1 x 119 x 18 = 270930870

Therefore, the lowest common multiple of 617,205,595,738 is 270930870.

LCM Formula to Find Lowest Common Multiple of 617,205,595,738

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.

617 x 205 x 595 x 738 = 55540828350

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.

617 : 1, 617

205 : 1, 5, 41, 205

595 : 1, 5, 7, 17, 35, 85, 119, 595

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 617,205,595,738, is 1.

Now, the common factors can be found like this.

617:617

205:5x 41

595:5x 7x 17

738:2x 3x 3x 41

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

5x 41 = 205

Therefore, the value for common factors is 205.

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 = 55540828350/(1x205)

LCM = 55540828350/205

LCM = 270930870

Thus, we can understand that the LCM of 617,205,595,738 is 270930870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 617, 205, 595, 738

1. What is the LCM of 617, 205, 595, 738?

Answer: LCM of 617, 205, 595, 738 is 270930870.

2. How to calculate the LCM of 617, 205, 595, 738?

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 617, 205, 595, 738.

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}.