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LCM of 662, 728, 677, 416, 806

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


Find the LCM of 662, 728, 677, 416, 806 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 662, 728, 677, 416, 806. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 662,728,677,416,806

Given numbers are 662,728,677,416,806

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

The LCM of 662,728,677,416,806 is 20228781664.

Find LCM of 662,728,677,416,806 with Prime Factorization


2 662, 728, 677, 416, 806
2 331, 364, 677, 208, 403
2 331, 182, 677, 104, 403
13 331, 91, 677, 52, 403
331, 7, 677, 4, 31

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

2 x 2 x 2 x 13 x 331 x 7 x 677 x 4 x 31 = 20228781664

Therefore, the lowest common multiple of 662,728,677,416,806 is 20228781664.

LCM Formula to Find Lowest Common Multiple of 662,728,677,416,806

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.

662 x 728 x 677 x 416 x 806 = 109397251238912

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.

662 : 1, 2, 331, 662

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

677 : 1, 677

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 662,728,677,416,806, is 1.

Now, the common factors can be found like this.

662:2x 331

728:2x 2x 2x 7x 13

677:677

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

806:2x 13x 31

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 13x 13 = 5408

Therefore, the value for common factors is 5408.

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 = 109397251238912/(1x5408)

LCM = 109397251238912/5408

LCM = 20228781664

Thus, we can understand that the LCM of 662,728,677,416,806 is 20228781664.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 662, 728, 677, 416, 806

1. What is the LCM of 662, 728, 677, 416, 806?

Answer: LCM of 662, 728, 677, 416, 806 is 20228781664.

2. How to calculate the LCM of 662, 728, 677, 416, 806?

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 662, 728, 677, 416, 806.

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}.