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LCM of 367, 315, 630, 778, 826

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


Find the LCM of 367, 315, 630, 778, 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 367, 315, 630, 778, 826. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 367,315,630,778,826

Given numbers are 367,315,630,778,826

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

The LCM of 367,315,630,778,826 is 5306500710.

Find LCM of 367,315,630,778,826 with Prime Factorization


2 367, 315, 630, 778, 826
3 367, 315, 315, 389, 413
3 367, 105, 105, 389, 413
5 367, 35, 35, 389, 413
7 367, 7, 7, 389, 413
367, 1, 1, 389, 59

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

2 x 3 x 3 x 5 x 7 x 367 x 1 x 1 x 389 x 59 = 5306500710

Therefore, the lowest common multiple of 367,315,630,778,826 is 5306500710.

LCM Formula to Find Lowest Common Multiple of 367,315,630,778,826

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.

367 x 315 x 630 x 778 x 826 = 46803336262200

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.

367 : 1, 367

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

778 : 1, 2, 389, 778

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 367,315,630,778,826, is 1.

Now, the common factors can be found like this.

367:367

315:3x 3x 5x 7

630:2x 3x 3x 5x 7

778:2x 389

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 3x 3x 5x 7x 7 = 8820

Therefore, the value for common factors is 8820.

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 = 46803336262200/(1x8820)

LCM = 46803336262200/8820

LCM = 5306500710

Thus, we can understand that the LCM of 367,315,630,778,826 is 5306500710.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 367, 315, 630, 778, 826

1. What is the LCM of 367, 315, 630, 778, 826?

Answer: LCM of 367, 315, 630, 778, 826 is 5306500710.

2. How to calculate the LCM of 367, 315, 630, 778, 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 367, 315, 630, 778, 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}.