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LCM of 416, 152, 405, 283, 380

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


Find the LCM of 416, 152, 405, 283, 380 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, 152, 405, 283, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,152,405,283,380

Given numbers are 416,152,405,283,380

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

The LCM of 416,152,405,283,380 is 905916960.

Find LCM of 416,152,405,283,380 with Prime Factorization


2 416, 152, 405, 283, 380
2 208, 76, 405, 283, 190
2 104, 38, 405, 283, 95
5 52, 19, 405, 283, 95
19 52, 19, 81, 283, 19
52, 1, 81, 283, 1

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

2 x 2 x 2 x 5 x 19 x 52 x 1 x 81 x 283 x 1 = 905916960

Therefore, the lowest common multiple of 416,152,405,283,380 is 905916960.

LCM Formula to Find Lowest Common Multiple of 416,152,405,283,380

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 152 x 405 x 283 x 380 = 2753987558400

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

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

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

283 : 1, 283

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,152,405,283,380, is 1.

Now, the common factors can be found like this.

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

152:2x 2x 2x 19

405:3x 3x 3x 3x 5

283:283

380:2x 2x 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 2x 5x 19 = 3040

Therefore, the value for common factors is 3040.

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 = 2753987558400/(1x3040)

LCM = 2753987558400/3040

LCM = 905916960

Thus, we can understand that the LCM of 416,152,405,283,380 is 905916960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 152, 405, 283, 380

1. What is the LCM of 416, 152, 405, 283, 380?

Answer: LCM of 416, 152, 405, 283, 380 is 905916960.

2. How to calculate the LCM of 416, 152, 405, 283, 380?

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, 152, 405, 283, 380.

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}.