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LCM of 308, 629, 629

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


Find the LCM of 308, 629, 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 308, 629, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 308,629,629

Given numbers are 308,629,629

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

The LCM of 308,629,629 is 193732.

Find LCM of 308,629,629 with Prime Factorization


17 308, 629, 629
37 308, 37, 37
308, 1, 1

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

17 x 37 x 308 x 1 x 1 = 193732

Therefore, the lowest common multiple of 308,629,629 is 193732.

LCM Formula to Find Lowest Common Multiple of 308,629,629

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.

308 x 629 x 629 = 121857428

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

629 : 1, 17, 37, 629

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,629,629, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

629:17x 37

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.

17x 37 = 629

Therefore, the value for common factors is 629.

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 = 121857428/(1x629)

LCM = 121857428/629

LCM = 193732

Thus, we can understand that the LCM of 308,629,629 is 193732.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 308, 629, 629

1. What is the LCM of 308, 629, 629?

Answer: LCM of 308, 629, 629 is 193732.

2. How to calculate the LCM of 308, 629, 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 308, 629, 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}.