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LCM of 265, 105, 330, 917, 875

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


Find the LCM of 265, 105, 330, 917, 875 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 265, 105, 330, 917, 875. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 265,105,330,917,875

Given numbers are 265,105,330,917,875

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

The LCM of 265,105,330,917,875 is 400958250.

Find LCM of 265,105,330,917,875 with Prime Factorization


3 265, 105, 330, 917, 875
5 265, 35, 110, 917, 875
7 53, 7, 22, 917, 175
53, 1, 22, 131, 25

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

3 x 5 x 7 x 53 x 1 x 22 x 131 x 25 = 400958250

Therefore, the lowest common multiple of 265,105,330,917,875 is 400958250.

LCM Formula to Find Lowest Common Multiple of 265,105,330,917,875

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.

265 x 105 x 330 x 917 x 875 = 7367607843750

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.

265 : 1, 5, 53, 265

105 : 1, 3, 5, 7, 15, 21, 35, 105

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

917 : 1, 7, 131, 917

875 : 1, 5, 7, 25, 35, 125, 175, 875

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,105,330,917,875, is 1.

Now, the common factors can be found like this.

265:5x 53

105:3x 5x 7

330:2x 3x 5x 11

917:7x 131

875:5x 5x 5x 7

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 5x 7x 7 = 18375

Therefore, the value for common factors is 18375.

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 = 7367607843750/(1x18375)

LCM = 7367607843750/18375

LCM = 400958250

Thus, we can understand that the LCM of 265,105,330,917,875 is 400958250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 265, 105, 330, 917, 875

1. What is the LCM of 265, 105, 330, 917, 875?

Answer: LCM of 265, 105, 330, 917, 875 is 400958250.

2. How to calculate the LCM of 265, 105, 330, 917, 875?

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 265, 105, 330, 917, 875.

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}.