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LCM of 787, 652, 652, 159

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


Find the LCM of 787, 652, 652, 159 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, 652, 652, 159. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 787,652,652,159

Given numbers are 787,652,652,159

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

The LCM of 787,652,652,159 is 81586716.

Find LCM of 787,652,652,159 with Prime Factorization


2 787, 652, 652, 159
2 787, 326, 326, 159
163 787, 163, 163, 159
787, 1, 1, 159

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

2 x 2 x 163 x 787 x 1 x 1 x 159 = 81586716

Therefore, the lowest common multiple of 787,652,652,159 is 81586716.

LCM Formula to Find Lowest Common Multiple of 787,652,652,159

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 652 x 652 x 159 = 53194538832

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

652 : 1, 2, 4, 163, 326, 652

652 : 1, 2, 4, 163, 326, 652

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,652,652,159, is 1.

Now, the common factors can be found like this.

787:787

652:2x 2x 163

652:2x 2x 163

159:3x 53

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 163 = 652

Therefore, the value for common factors is 652.

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 = 53194538832/(1x652)

LCM = 53194538832/652

LCM = 81586716

Thus, we can understand that the LCM of 787,652,652,159 is 81586716.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 787, 652, 652, 159

1. What is the LCM of 787, 652, 652, 159?

Answer: LCM of 787, 652, 652, 159 is 81586716.

2. How to calculate the LCM of 787, 652, 652, 159?

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, 652, 652, 159.

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}.