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LCM of 180, 795, 303, 506, 843

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


Find the LCM of 180, 795, 303, 506, 843 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 180, 795, 303, 506, 843. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 180,795,303,506,843

Given numbers are 180,795,303,506,843

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

The LCM of 180,795,303,506,843 is 68500949220.

Find LCM of 180,795,303,506,843 with Prime Factorization


2 180, 795, 303, 506, 843
3 90, 795, 303, 253, 843
5 30, 265, 101, 253, 281
6, 53, 101, 253, 281

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

2 x 3 x 5 x 6 x 53 x 101 x 253 x 281 = 68500949220

Therefore, the lowest common multiple of 180,795,303,506,843 is 68500949220.

LCM Formula to Find Lowest Common Multiple of 180,795,303,506,843

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.

180 x 795 x 303 x 506 x 843 = 18495256289400

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.

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

303 : 1, 3, 101, 303

506 : 1, 2, 11, 22, 23, 46, 253, 506

843 : 1, 3, 281, 843

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,795,303,506,843, is 1.

Now, the common factors can be found like this.

180:2x 2x 3x 3x 5

795:3x 5x 53

303:3x 101

506:2x 11x 23

843:3x 281

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 3x 5 = 270

Therefore, the value for common factors is 270.

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 = 18495256289400/(1x270)

LCM = 18495256289400/270

LCM = 68500949220

Thus, we can understand that the LCM of 180,795,303,506,843 is 68500949220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 180, 795, 303, 506, 843

1. What is the LCM of 180, 795, 303, 506, 843?

Answer: LCM of 180, 795, 303, 506, 843 is 68500949220.

2. How to calculate the LCM of 180, 795, 303, 506, 843?

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 180, 795, 303, 506, 843.

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}.