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LCM of 367, 367, 720, 367

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


Find the LCM of 367, 367, 720, 367 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 367, 367, 720, 367. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 367,367,720,367

Given numbers are 367,367,720,367

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

The LCM of 367,367,720,367 is 264240.

Find LCM of 367,367,720,367 with Prime Factorization


367 367, 367, 720, 367
1, 1, 720, 1

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

367 x 1 x 1 x 720 x 1 = 264240

Therefore, the lowest common multiple of 367,367,720,367 is 264240.

LCM Formula to Find Lowest Common Multiple of 367,367,720,367

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.

367 x 367 x 720 x 367 = 35590221360

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.

367 : 1, 367

367 : 1, 367

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,367,720,367, is 1.

Now, the common factors can be found like this.

367:367

367:367

720:2x 2x 2x 2x 3x 3x 5

367:367

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

367x 367 = 134689

Therefore, the value for common factors is 134689.

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 = 35590221360/(1x134689)

LCM = 35590221360/134689

LCM = 264240

Thus, we can understand that the LCM of 367,367,720,367 is 264240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 367, 367, 720, 367

1. What is the LCM of 367, 367, 720, 367?

Answer: LCM of 367, 367, 720, 367 is 264240.

2. How to calculate the LCM of 367, 367, 720, 367?

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 367, 367, 720, 367.

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}.