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LCM of 363, 878, 828, 726

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


Find the LCM of 363, 878, 828, 726 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 363, 878, 828, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,878,828,726

Given numbers are 363,878,828,726

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

The LCM of 363,878,828,726 is 43982532.

Find LCM of 363,878,828,726 with Prime Factorization


2 363, 878, 828, 726
3 363, 439, 414, 363
11 121, 439, 138, 121
11 11, 439, 138, 11
1, 439, 138, 1

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

2 x 3 x 11 x 11 x 1 x 439 x 138 x 1 = 43982532

Therefore, the lowest common multiple of 363,878,828,726 is 43982532.

LCM Formula to Find Lowest Common Multiple of 363,878,828,726

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.

363 x 878 x 828 x 726 = 191587909392

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.

363 : 1, 3, 11, 33, 121, 363

878 : 1, 2, 439, 878

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,878,828,726, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

878:2x 439

828:2x 2x 3x 3x 23

726:2x 3x 11x 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 3x 3x 11x 11 = 4356

Therefore, the value for common factors is 4356.

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 = 191587909392/(1x4356)

LCM = 191587909392/4356

LCM = 43982532

Thus, we can understand that the LCM of 363,878,828,726 is 43982532.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 878, 828, 726

1. What is the LCM of 363, 878, 828, 726?

Answer: LCM of 363, 878, 828, 726 is 43982532.

2. How to calculate the LCM of 363, 878, 828, 726?

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 363, 878, 828, 726.

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}.