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LCM of 310, 718, 163, 180, 795

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


Find the LCM of 310, 718, 163, 180, 795 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 310, 718, 163, 180, 795. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 310,718,163,180,795

Given numbers are 310,718,163,180,795

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

The LCM of 310,718,163,180,795 is 17305817580.

Find LCM of 310,718,163,180,795 with Prime Factorization


2 310, 718, 163, 180, 795
3 155, 359, 163, 90, 795
5 155, 359, 163, 30, 265
31, 359, 163, 6, 53

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

2 x 3 x 5 x 31 x 359 x 163 x 6 x 53 = 17305817580

Therefore, the lowest common multiple of 310,718,163,180,795 is 17305817580.

LCM Formula to Find Lowest Common Multiple of 310,718,163,180,795

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.

310 x 718 x 163 x 180 x 795 = 5191745274000

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

718 : 1, 2, 359, 718

163 : 1, 163

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,718,163,180,795, is 1.

Now, the common factors can be found like this.

310:2x 5x 31

718:2x 359

163:163

180:2x 2x 3x 3x 5

795:3x 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.

2x 2x 3x 5x 5 = 300

Therefore, the value for common factors is 300.

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 = 5191745274000/(1x300)

LCM = 5191745274000/300

LCM = 17305817580

Thus, we can understand that the LCM of 310,718,163,180,795 is 17305817580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 310, 718, 163, 180, 795

1. What is the LCM of 310, 718, 163, 180, 795?

Answer: LCM of 310, 718, 163, 180, 795 is 17305817580.

2. How to calculate the LCM of 310, 718, 163, 180, 795?

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 310, 718, 163, 180, 795.

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}.