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LCM of 720, 338, 630, 188, 593

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


Find the LCM of 720, 338, 630, 188, 593 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 720, 338, 630, 188, 593. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,338,630,188,593

Given numbers are 720,338,630,188,593

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

The LCM of 720,338,630,188,593 is 23739402960.

Find LCM of 720,338,630,188,593 with Prime Factorization


2 720, 338, 630, 188, 593
2 360, 169, 315, 94, 593
3 180, 169, 315, 47, 593
3 60, 169, 105, 47, 593
5 20, 169, 35, 47, 593
4, 169, 7, 47, 593

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

2 x 2 x 3 x 3 x 5 x 4 x 169 x 7 x 47 x 593 = 23739402960

Therefore, the lowest common multiple of 720,338,630,188,593 is 23739402960.

LCM Formula to Find Lowest Common Multiple of 720,338,630,188,593

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.

720 x 338 x 630 x 188 x 593 = 17092370131200

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

338 : 1, 2, 13, 26, 169, 338

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

188 : 1, 2, 4, 47, 94, 188

593 : 1, 593

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,338,630,188,593, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

338:2x 13x 13

630:2x 3x 3x 5x 7

188:2x 2x 47

593:593

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 2x 3x 3x 5 = 720

Therefore, the value for common factors is 720.

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 = 17092370131200/(1x720)

LCM = 17092370131200/720

LCM = 23739402960

Thus, we can understand that the LCM of 720,338,630,188,593 is 23739402960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 338, 630, 188, 593

1. What is the LCM of 720, 338, 630, 188, 593?

Answer: LCM of 720, 338, 630, 188, 593 is 23739402960.

2. How to calculate the LCM of 720, 338, 630, 188, 593?

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 720, 338, 630, 188, 593.

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}.