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LCM of 120, 996, 162, 629

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


Find the LCM of 120, 996, 162, 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 120, 996, 162, 629. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 120,996,162,629

Given numbers are 120,996,162,629

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

The LCM of 120,996,162,629 is 169150680.

Find LCM of 120,996,162,629 with Prime Factorization


2 120, 996, 162, 629
2 60, 498, 81, 629
3 30, 249, 81, 629
10, 83, 27, 629

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

2 x 2 x 3 x 10 x 83 x 27 x 629 = 169150680

Therefore, the lowest common multiple of 120,996,162,629 is 169150680.

LCM Formula to Find Lowest Common Multiple of 120,996,162,629

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.

120 x 996 x 162 x 629 = 12178848960

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.

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

629 : 1, 17, 37, 629

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 120,996,162,629, is 1.

Now, the common factors can be found like this.

120:2x 2x 2x 3x 5

996:2x 2x 3x 83

162:2x 3x 3x 3x 3

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.

2x 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 12178848960/(1x72)

LCM = 12178848960/72

LCM = 169150680

Thus, we can understand that the LCM of 120,996,162,629 is 169150680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 120, 996, 162, 629

1. What is the LCM of 120, 996, 162, 629?

Answer: LCM of 120, 996, 162, 629 is 169150680.

2. How to calculate the LCM of 120, 996, 162, 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 120, 996, 162, 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}.