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LCM of 416, 586, 616, 495

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


Find the LCM of 416, 586, 616, 495 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, 586, 616, 495. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 416,586,616,495

Given numbers are 416,586,616,495

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

The LCM of 416,586,616,495 is 422341920.

Find LCM of 416,586,616,495 with Prime Factorization


2 416, 586, 616, 495
2 208, 293, 308, 495
2 104, 293, 154, 495
11 52, 293, 77, 495
52, 293, 7, 45

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

2 x 2 x 2 x 11 x 52 x 293 x 7 x 45 = 422341920

Therefore, the lowest common multiple of 416,586,616,495 is 422341920.

LCM Formula to Find Lowest Common Multiple of 416,586,616,495

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 586 x 616 x 495 = 74332177920

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

586 : 1, 2, 293, 586

616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,586,616,495, is 1.

Now, the common factors can be found like this.

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

586:2x 293

616:2x 2x 2x 7x 11

495:3x 3x 5x 11

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 11 = 176

Therefore, the value for common factors is 176.

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 = 74332177920/(1x176)

LCM = 74332177920/176

LCM = 422341920

Thus, we can understand that the LCM of 416,586,616,495 is 422341920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 416, 586, 616, 495

1. What is the LCM of 416, 586, 616, 495?

Answer: LCM of 416, 586, 616, 495 is 422341920.

2. How to calculate the LCM of 416, 586, 616, 495?

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, 586, 616, 495.

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}.