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LCM of 416, 663, 275, 377, 569

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


Find the LCM of 416, 663, 275, 377, 569 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 416, 663, 275, 377, 569. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,663,275,377,569

Given numbers are 416,663,275,377,569

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

The LCM of 416,663,275,377,569 is 96273434400.

Find LCM of 416,663,275,377,569 with Prime Factorization


13 416, 663, 275, 377, 569
32, 51, 275, 29, 569

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

13 x 32 x 51 x 275 x 29 x 569 = 96273434400

Therefore, the lowest common multiple of 416,663,275,377,569 is 96273434400.

LCM Formula to Find Lowest Common Multiple of 416,663,275,377,569

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.

416 x 663 x 275 x 377 x 569 = 16270210413600

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.

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

663 : 1, 3, 13, 17, 39, 51, 221, 663

275 : 1, 5, 11, 25, 55, 275

377 : 1, 13, 29, 377

569 : 1, 569

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,663,275,377,569, is 1.

Now, the common factors can be found like this.

416:2x 2x 2x 2x 2x 13

663:3x 13x 17

275:5x 5x 11

377:13x 29

569:569

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 16270210413600/(1x169)

LCM = 16270210413600/169

LCM = 96273434400

Thus, we can understand that the LCM of 416,663,275,377,569 is 96273434400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 663, 275, 377, 569

1. What is the LCM of 416, 663, 275, 377, 569?

Answer: LCM of 416, 663, 275, 377, 569 is 96273434400.

2. How to calculate the LCM of 416, 663, 275, 377, 569?

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 416, 663, 275, 377, 569.

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}.