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LCM of 889, 815, 795, 265

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


Find the LCM of 889, 815, 795, 265 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 889, 815, 795, 265. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 889,815,795,265

Given numbers are 889,815,795,265

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

The LCM of 889,815,795,265 is 115201065.

Find LCM of 889,815,795,265 with Prime Factorization


5 889, 815, 795, 265
53 889, 163, 159, 53
889, 163, 3, 1

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

5 x 53 x 889 x 163 x 3 x 1 = 115201065

Therefore, the lowest common multiple of 889,815,795,265 is 115201065.

LCM Formula to Find Lowest Common Multiple of 889,815,795,265

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.

889 x 815 x 795 x 265 = 152641411125

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.

889 : 1, 7, 127, 889

815 : 1, 5, 163, 815

795 : 1, 3, 5, 15, 53, 159, 265, 795

265 : 1, 5, 53, 265

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 889,815,795,265, is 1.

Now, the common factors can be found like this.

889:7x 127

815:5x 163

795:3x 5x 53

265:5x 53

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

5x 5x 53 = 1325

Therefore, the value for common factors is 1325.

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 = 152641411125/(1x1325)

LCM = 152641411125/1325

LCM = 115201065

Thus, we can understand that the LCM of 889,815,795,265 is 115201065.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 889, 815, 795, 265

1. What is the LCM of 889, 815, 795, 265?

Answer: LCM of 889, 815, 795, 265 is 115201065.

2. How to calculate the LCM of 889, 815, 795, 265?

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 889, 815, 795, 265.

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}.