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LCM of 469, 629, 469, 854

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


Find the LCM of 469, 629, 469, 854 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 469, 629, 469, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 469,629,469,854

Given numbers are 469,629,469,854

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

The LCM of 469,629,469,854 is 35990122.

Find LCM of 469,629,469,854 with Prime Factorization


7 469, 629, 469, 854
67 67, 629, 67, 122
1, 629, 1, 122

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

7 x 67 x 1 x 629 x 1 x 122 = 35990122

Therefore, the lowest common multiple of 469,629,469,854 is 35990122.

LCM Formula to Find Lowest Common Multiple of 469,629,469,854

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.

469 x 629 x 469 x 854 = 118155570526

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.

469 : 1, 7, 67, 469

629 : 1, 17, 37, 629

469 : 1, 7, 67, 469

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 469,629,469,854, is 1.

Now, the common factors can be found like this.

469:7x 67

629:17x 37

469:7x 67

854:2x 7x 61

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

7x 7x 67 = 3283

Therefore, the value for common factors is 3283.

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 = 118155570526/(1x3283)

LCM = 118155570526/3283

LCM = 35990122

Thus, we can understand that the LCM of 469,629,469,854 is 35990122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 469, 629, 469, 854

1. What is the LCM of 469, 629, 469, 854?

Answer: LCM of 469, 629, 469, 854 is 35990122.

2. How to calculate the LCM of 469, 629, 469, 854?

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 469, 629, 469, 854.

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}.