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LCM of 416, 416, 257, 516

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


Find the LCM of 416, 416, 257, 516 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, 416, 257, 516. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,416,257,516

Given numbers are 416,416,257,516

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

The LCM of 416,416,257,516 is 13791648.

Find LCM of 416,416,257,516 with Prime Factorization


2 416, 416, 257, 516
2 208, 208, 257, 258
2 104, 104, 257, 129
2 52, 52, 257, 129
2 26, 26, 257, 129
13 13, 13, 257, 129
1, 1, 257, 129

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

2 x 2 x 2 x 2 x 2 x 13 x 1 x 1 x 257 x 129 = 13791648

Therefore, the lowest common multiple of 416,416,257,516 is 13791648.

LCM Formula to Find Lowest Common Multiple of 416,416,257,516

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 416 x 257 x 516 = 22949302272

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

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

257 : 1, 257

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,416,257,516, is 1.

Now, the common factors can be found like this.

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

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

257:257

516:2x 2x 3x 43

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 2x 2x 2x 13 = 1664

Therefore, the value for common factors is 1664.

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 = 22949302272/(1x1664)

LCM = 22949302272/1664

LCM = 13791648

Thus, we can understand that the LCM of 416,416,257,516 is 13791648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 416, 257, 516

1. What is the LCM of 416, 416, 257, 516?

Answer: LCM of 416, 416, 257, 516 is 13791648.

2. How to calculate the LCM of 416, 416, 257, 516?

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, 416, 257, 516.

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}.