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LCM of 255, 698, 801, 120, 565

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


Find the LCM of 255, 698, 801, 120, 565 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 255, 698, 801, 120, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 255,698,801,120,565

Given numbers are 255,698,801,120,565

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

The LCM of 255,698,801,120,565 is 21480545160.

Find LCM of 255,698,801,120,565 with Prime Factorization


2 255, 698, 801, 120, 565
3 255, 349, 801, 60, 565
5 85, 349, 267, 20, 565
17, 349, 267, 4, 113

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

2 x 3 x 5 x 17 x 349 x 267 x 4 x 113 = 21480545160

Therefore, the lowest common multiple of 255,698,801,120,565 is 21480545160.

LCM Formula to Find Lowest Common Multiple of 255,698,801,120,565

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.

255 x 698 x 801 x 120 x 565 = 9666245322000

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.

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

698 : 1, 2, 349, 698

801 : 1, 3, 9, 89, 267, 801

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,698,801,120,565, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

698:2x 349

801:3x 3x 89

120:2x 2x 2x 3x 5

565:5x 113

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

2x 3x 3x 5x 5 = 450

Therefore, the value for common factors is 450.

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 = 9666245322000/(1x450)

LCM = 9666245322000/450

LCM = 21480545160

Thus, we can understand that the LCM of 255,698,801,120,565 is 21480545160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 255, 698, 801, 120, 565

1. What is the LCM of 255, 698, 801, 120, 565?

Answer: LCM of 255, 698, 801, 120, 565 is 21480545160.

2. How to calculate the LCM of 255, 698, 801, 120, 565?

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 255, 698, 801, 120, 565.

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}.