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LCM of 720, 595, 255, 275

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


Find the LCM of 720, 595, 255, 275 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, 595, 255, 275. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,595,255,275

Given numbers are 720,595,255,275

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

The LCM of 720,595,255,275 is 4712400.

Find LCM of 720,595,255,275 with Prime Factorization


3 720, 595, 255, 275
5 240, 595, 85, 275
17 48, 119, 17, 55
48, 7, 1, 55

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

3 x 5 x 17 x 48 x 7 x 1 x 55 = 4712400

Therefore, the lowest common multiple of 720,595,255,275 is 4712400.

LCM Formula to Find Lowest Common Multiple of 720,595,255,275

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 595 x 255 x 275 = 30041550000

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

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

255 : 1, 3, 5, 15, 17, 51, 85, 255

275 : 1, 5, 11, 25, 55, 275

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,595,255,275, is 5.

Now, the common factors can be found like this.

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

595:5x 7x 17

255:3x 5x 17

275:5x 5x 11

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

3x 5x 5x 17 = 1275

Therefore, the value for common factors is 1275.

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 = 30041550000/(5x1275)

LCM = 30041550000/6375

LCM = 4712400

Thus, we can understand that the LCM of 720,595,255,275 is 4712400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 595, 255, 275

1. What is the LCM of 720, 595, 255, 275?

Answer: LCM of 720, 595, 255, 275 is 4712400.

2. How to calculate the LCM of 720, 595, 255, 275?

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, 595, 255, 275.

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}.