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LCM of 787, 627, 562, 728

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


Find the LCM of 787, 627, 562, 728 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, 627, 562, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,627,562,728

Given numbers are 787,627,562,728

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

The LCM of 787,627,562,728 is 100943875032.

Find LCM of 787,627,562,728 with Prime Factorization


2 787, 627, 562, 728
787, 627, 281, 364

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

2 x 787 x 627 x 281 x 364 = 100943875032

Therefore, the lowest common multiple of 787,627,562,728 is 100943875032.

LCM Formula to Find Lowest Common Multiple of 787,627,562,728

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 627 x 562 x 728 = 201887750064

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

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

562 : 1, 2, 281, 562

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,627,562,728, is 1.

Now, the common factors can be found like this.

787:787

627:3x 11x 19

562:2x 281

728:2x 2x 2x 7x 13

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

2 = 2

Therefore, the value for common factors is 2.

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 = 201887750064/(1x2)

LCM = 201887750064/2

LCM = 100943875032

Thus, we can understand that the LCM of 787,627,562,728 is 100943875032.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 627, 562, 728

1. What is the LCM of 787, 627, 562, 728?

Answer: LCM of 787, 627, 562, 728 is 100943875032.

2. How to calculate the LCM of 787, 627, 562, 728?

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, 627, 562, 728.

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}.