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LCM of 659, 642, 850, 752

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


Find the LCM of 659, 642, 850, 752 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 659, 642, 850, 752. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 659,642,850,752

Given numbers are 659,642,850,752

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

The LCM of 659,642,850,752 is 67607864400.

Find LCM of 659,642,850,752 with Prime Factorization


2 659, 642, 850, 752
659, 321, 425, 376

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

2 x 659 x 321 x 425 x 376 = 67607864400

Therefore, the lowest common multiple of 659,642,850,752 is 67607864400.

LCM Formula to Find Lowest Common Multiple of 659,642,850,752

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.

659 x 642 x 850 x 752 = 270431457600

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.

659 : 1, 659

642 : 1, 2, 3, 6, 107, 214, 321, 642

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 659,642,850,752, is 1.

Now, the common factors can be found like this.

659:659

642:2x 3x 107

850:2x 5x 5x 17

752:2x 2x 2x 2x 47

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 270431457600/(1x4)

LCM = 270431457600/4

LCM = 67607864400

Thus, we can understand that the LCM of 659,642,850,752 is 67607864400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 659, 642, 850, 752

1. What is the LCM of 659, 642, 850, 752?

Answer: LCM of 659, 642, 850, 752 is 67607864400.

2. How to calculate the LCM of 659, 642, 850, 752?

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 659, 642, 850, 752.

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}.