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LCM of 787, 689, 835, 627, 338

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


Find the LCM of 787, 689, 835, 627, 338 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 787, 689, 835, 627, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,689,835,627,338

Given numbers are 787,689,835,627,338

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

The LCM of 787,689,835,627,338 is 7381103897310.

Find LCM of 787,689,835,627,338 with Prime Factorization


13 787, 689, 835, 627, 338
787, 53, 835, 627, 26

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

13 x 787 x 53 x 835 x 627 x 26 = 7381103897310

Therefore, the lowest common multiple of 787,689,835,627,338 is 7381103897310.

LCM Formula to Find Lowest Common Multiple of 787,689,835,627,338

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.

787 x 689 x 835 x 627 x 338 = 95954350665030

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.

787 : 1, 787

689 : 1, 13, 53, 689

835 : 1, 5, 167, 835

627 : 1, 3, 11, 19, 33, 57, 209, 627

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,689,835,627,338, is 1.

Now, the common factors can be found like this.

787:787

689:13x 53

835:5x 167

627:3x 11x 19

338:2x 13x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 95954350665030/(1x13)

LCM = 95954350665030/13

LCM = 7381103897310

Thus, we can understand that the LCM of 787,689,835,627,338 is 7381103897310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 689, 835, 627, 338

1. What is the LCM of 787, 689, 835, 627, 338?

Answer: LCM of 787, 689, 835, 627, 338 is 7381103897310.

2. How to calculate the LCM of 787, 689, 835, 627, 338?

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 787, 689, 835, 627, 338.

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}.