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LCM of 828, 235, 293, 399, 726

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


Find the LCM of 828, 235, 293, 399, 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 828, 235, 293, 399, 726. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,235,293,399,726

Given numbers are 828,235,293,399,726

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

The LCM of 828,235,293,399,726 is 917493150420.

Find LCM of 828,235,293,399,726 with Prime Factorization


2 828, 235, 293, 399, 726
3 414, 235, 293, 399, 363
138, 235, 293, 133, 121

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

2 x 3 x 138 x 235 x 293 x 133 x 121 = 917493150420

Therefore, the lowest common multiple of 828,235,293,399,726 is 917493150420.

LCM Formula to Find Lowest Common Multiple of 828,235,293,399,726

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.

828 x 235 x 293 x 399 x 726 = 16514876707560

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.

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

235 : 1, 5, 47, 235

293 : 1, 293

399 : 1, 3, 7, 19, 21, 57, 133, 399

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 828,235,293,399,726, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

235:5x 47

293:293

399:3x 7x 19

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 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 16514876707560/(1x18)

LCM = 16514876707560/18

LCM = 917493150420

Thus, we can understand that the LCM of 828,235,293,399,726 is 917493150420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 235, 293, 399, 726

1. What is the LCM of 828, 235, 293, 399, 726?

Answer: LCM of 828, 235, 293, 399, 726 is 917493150420.

2. How to calculate the LCM of 828, 235, 293, 399, 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 828, 235, 293, 399, 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}.