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LCM of 255, 899, 899, 767

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


Find the LCM of 255, 899, 899, 767 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, 899, 899, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 255,899,899,767

Given numbers are 255,899,899,767

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

The LCM of 255,899,899,767 is 175830915.

Find LCM of 255,899,899,767 with Prime Factorization


29 255, 899, 899, 767
31 255, 31, 31, 767
255, 1, 1, 767

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

29 x 31 x 255 x 1 x 1 x 767 = 175830915

Therefore, the lowest common multiple of 255,899,899,767 is 175830915.

LCM Formula to Find Lowest Common Multiple of 255,899,899,767

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 899 x 899 x 767 = 158071992585

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

899 : 1, 29, 31, 899

899 : 1, 29, 31, 899

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,899,899,767, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

899:29x 31

899:29x 31

767:13x 59

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

29x 31 = 899

Therefore, the value for common factors is 899.

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 = 158071992585/(1x899)

LCM = 158071992585/899

LCM = 175830915

Thus, we can understand that the LCM of 255,899,899,767 is 175830915.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 255, 899, 899, 767

1. What is the LCM of 255, 899, 899, 767?

Answer: LCM of 255, 899, 899, 767 is 175830915.

2. How to calculate the LCM of 255, 899, 899, 767?

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, 899, 899, 767.

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}.