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LCM of 391, 51, 826

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


Find the LCM of 391, 51, 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 391, 51, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,51,826

Given numbers are 391,51,826

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

The LCM of 391,51,826 is 968898.

Find LCM of 391,51,826 with Prime Factorization


17 391, 51, 826
23, 3, 826

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

17 x 23 x 3 x 826 = 968898

Therefore, the lowest common multiple of 391,51,826 is 968898.

LCM Formula to Find Lowest Common Multiple of 391,51,826

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.

391 x 51 x 826 = 16471266

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.

391 : 1, 17, 23, 391

51 : 1, 3, 17, 51

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 391,51,826, is 1.

Now, the common factors can be found like this.

391:17x 23

51:3x 17

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.

17 = 17

Therefore, the value for common factors is 17.

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 = 16471266/(1x17)

LCM = 16471266/17

LCM = 968898

Thus, we can understand that the LCM of 391,51,826 is 968898.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 391, 51, 826

1. What is the LCM of 391, 51, 826?

Answer: LCM of 391, 51, 826 is 968898.

2. How to calculate the LCM of 391, 51, 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 391, 51, 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}.