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LCM of 576, 545, 380, 965

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


Find the LCM of 576, 545, 380, 965 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 576, 545, 380, 965. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 576,545,380,965

Given numbers are 576,545,380,965

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

The LCM of 576,545,380,965 is 1151144640.

Find LCM of 576,545,380,965 with Prime Factorization


2 576, 545, 380, 965
2 288, 545, 190, 965
5 144, 545, 95, 965
144, 109, 19, 193

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

2 x 2 x 5 x 144 x 109 x 19 x 193 = 1151144640

Therefore, the lowest common multiple of 576,545,380,965 is 1151144640.

LCM Formula to Find Lowest Common Multiple of 576,545,380,965

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.

576 x 545 x 380 x 965 = 115114464000

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.

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

545 : 1, 5, 109, 545

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

965 : 1, 5, 193, 965

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 576,545,380,965, is 1.

Now, the common factors can be found like this.

576:2x 2x 2x 2x 2x 2x 3x 3

545:5x 109

380:2x 2x 5x 19

965:5x 193

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 115114464000/(1x100)

LCM = 115114464000/100

LCM = 1151144640

Thus, we can understand that the LCM of 576,545,380,965 is 1151144640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 576, 545, 380, 965

1. What is the LCM of 576, 545, 380, 965?

Answer: LCM of 576, 545, 380, 965 is 1151144640.

2. How to calculate the LCM of 576, 545, 380, 965?

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 576, 545, 380, 965.

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}.