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LCM of 649, 624, 798, 856, 826

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


Find the LCM of 649, 624, 798, 856, 826 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 649, 624, 798, 856, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 649,624,798,856,826

Given numbers are 649,624,798,856,826

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

The LCM of 649,624,798,856,826 is 5763213456.

Find LCM of 649,624,798,856,826 with Prime Factorization


2 649, 624, 798, 856, 826
2 649, 312, 399, 428, 413
2 649, 156, 399, 214, 413
3 649, 78, 399, 107, 413
7 649, 26, 133, 107, 413
59 649, 26, 19, 107, 59
11, 26, 19, 107, 1

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

2 x 2 x 2 x 3 x 7 x 59 x 11 x 26 x 19 x 107 x 1 = 5763213456

Therefore, the lowest common multiple of 649,624,798,856,826 is 5763213456.

LCM Formula to Find Lowest Common Multiple of 649,624,798,856,826

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.

649 x 624 x 798 x 856 x 826 = 228499887103488

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.

649 : 1, 11, 59, 649

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

856 : 1, 2, 4, 8, 107, 214, 428, 856

826 : 1, 2, 7, 14, 59, 118, 413, 826

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,624,798,856,826, is 1.

Now, the common factors can be found like this.

649:11x 59

624:2x 2x 2x 2x 3x 13

798:2x 3x 7x 19

856:2x 2x 2x 107

826:2x 7x 59

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 3x 7x 59 = 39648

Therefore, the value for common factors is 39648.

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 = 228499887103488/(1x39648)

LCM = 228499887103488/39648

LCM = 5763213456

Thus, we can understand that the LCM of 649,624,798,856,826 is 5763213456.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 649, 624, 798, 856, 826

1. What is the LCM of 649, 624, 798, 856, 826?

Answer: LCM of 649, 624, 798, 856, 826 is 5763213456.

2. How to calculate the LCM of 649, 624, 798, 856, 826?

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 649, 624, 798, 856, 826.

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}.