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LCM of 480, 510, 769, 990, 367

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


Find the LCM of 480, 510, 769, 990, 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 480, 510, 769, 990, 367. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 480,510,769,990,367

Given numbers are 480,510,769,990,367

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

The LCM of 480,510,769,990,367 is 75997009440.

Find LCM of 480,510,769,990,367 with Prime Factorization


2 480, 510, 769, 990, 367
3 240, 255, 769, 495, 367
5 80, 85, 769, 165, 367
16, 17, 769, 33, 367

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

2 x 3 x 5 x 16 x 17 x 769 x 33 x 367 = 75997009440

Therefore, the lowest common multiple of 480,510,769,990,367 is 75997009440.

LCM Formula to Find Lowest Common Multiple of 480,510,769,990,367

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.

480 x 510 x 769 x 990 x 367 = 68397308496000

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

769 : 1, 769

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

367 : 1, 367

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,510,769,990,367, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

510:2x 3x 5x 17

769:769

990:2x 3x 3x 5x 11

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.

2x 2x 3x 3x 5x 5 = 900

Therefore, the value for common factors is 900.

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 = 68397308496000/(1x900)

LCM = 68397308496000/900

LCM = 75997009440

Thus, we can understand that the LCM of 480,510,769,990,367 is 75997009440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 480, 510, 769, 990, 367

1. What is the LCM of 480, 510, 769, 990, 367?

Answer: LCM of 480, 510, 769, 990, 367 is 75997009440.

2. How to calculate the LCM of 480, 510, 769, 990, 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 480, 510, 769, 990, 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}.