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LCM of 411, 304, 960, 475

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


Find the LCM of 411, 304, 960, 475 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 411, 304, 960, 475. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,304,960,475

Given numbers are 411,304,960,475

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

The LCM of 411,304,960,475 is 12494400.

Find LCM of 411,304,960,475 with Prime Factorization


2 411, 304, 960, 475
2 411, 152, 480, 475
2 411, 76, 240, 475
2 411, 38, 120, 475
3 411, 19, 60, 475
5 137, 19, 20, 475
19 137, 19, 4, 95
137, 1, 4, 5

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

2 x 2 x 2 x 2 x 3 x 5 x 19 x 137 x 1 x 4 x 5 = 12494400

Therefore, the lowest common multiple of 411,304,960,475 is 12494400.

LCM Formula to Find Lowest Common Multiple of 411,304,960,475

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.

411 x 304 x 960 x 475 = 56974464000

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.

411 : 1, 3, 137, 411

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

475 : 1, 5, 19, 25, 95, 475

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,304,960,475, is 1.

Now, the common factors can be found like this.

411:3x 137

304:2x 2x 2x 2x 19

960:2x 2x 2x 2x 2x 2x 3x 5

475:5x 5x 19

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 2x 2x 3x 5x 19 = 4560

Therefore, the value for common factors is 4560.

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 = 56974464000/(1x4560)

LCM = 56974464000/4560

LCM = 12494400

Thus, we can understand that the LCM of 411,304,960,475 is 12494400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 304, 960, 475

1. What is the LCM of 411, 304, 960, 475?

Answer: LCM of 411, 304, 960, 475 is 12494400.

2. How to calculate the LCM of 411, 304, 960, 475?

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 411, 304, 960, 475.

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}.