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LCM of 828, 677, 341, 710, 713

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


Find the LCM of 828, 677, 341, 710, 713 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, 677, 341, 710, 713. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,677,341,710,713

Given numbers are 828,677,341,710,713

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

The LCM of 828,677,341,710,713 is 67858106580.

Find LCM of 828,677,341,710,713 with Prime Factorization


2 828, 677, 341, 710, 713
23 414, 677, 341, 355, 713
31 18, 677, 341, 355, 31
18, 677, 11, 355, 1

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

2 x 23 x 31 x 18 x 677 x 11 x 355 x 1 = 67858106580

Therefore, the lowest common multiple of 828,677,341,710,713 is 67858106580.

LCM Formula to Find Lowest Common Multiple of 828,677,341,710,713

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 677 x 341 x 710 x 713 = 96765659983080

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

677 : 1, 677

341 : 1, 11, 31, 341

710 : 1, 2, 5, 10, 71, 142, 355, 710

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,677,341,710,713, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

677:677

341:11x 31

710:2x 5x 71

713:23x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 23x 31 = 1426

Therefore, the value for common factors is 1426.

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 = 96765659983080/(1x1426)

LCM = 96765659983080/1426

LCM = 67858106580

Thus, we can understand that the LCM of 828,677,341,710,713 is 67858106580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 677, 341, 710, 713

1. What is the LCM of 828, 677, 341, 710, 713?

Answer: LCM of 828, 677, 341, 710, 713 is 67858106580.

2. How to calculate the LCM of 828, 677, 341, 710, 713?

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, 677, 341, 710, 713.

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}.