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LCM of 195, 523, 949, 629

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


Find the LCM of 195, 523, 949, 629 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 195, 523, 949, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 195,523,949,629

Given numbers are 195,523,949,629

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

The LCM of 195,523,949,629 is 4682845245.

Find LCM of 195,523,949,629 with Prime Factorization


13 195, 523, 949, 629
15, 523, 73, 629

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

13 x 15 x 523 x 73 x 629 = 4682845245

Therefore, the lowest common multiple of 195,523,949,629 is 4682845245.

LCM Formula to Find Lowest Common Multiple of 195,523,949,629

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.

195 x 523 x 949 x 629 = 60876988185

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.

195 : 1, 3, 5, 13, 15, 39, 65, 195

523 : 1, 523

949 : 1, 13, 73, 949

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 195,523,949,629, is 1.

Now, the common factors can be found like this.

195:3x 5x 13

523:523

949:13x 73

629:17x 37

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 = 60876988185/(1x13)

LCM = 60876988185/13

LCM = 4682845245

Thus, we can understand that the LCM of 195,523,949,629 is 4682845245.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 195, 523, 949, 629

1. What is the LCM of 195, 523, 949, 629?

Answer: LCM of 195, 523, 949, 629 is 4682845245.

2. How to calculate the LCM of 195, 523, 949, 629?

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 195, 523, 949, 629.

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}.