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LCM of 454, 628, 858, 429, 999

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


Find the LCM of 454, 628, 858, 429, 999 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 454, 628, 858, 429, 999. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 454,628,858,429,999

Given numbers are 454,628,858,429,999

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

The LCM of 454,628,858,429,999 is 20365122492.

Find LCM of 454,628,858,429,999 with Prime Factorization


2 454, 628, 858, 429, 999
3 227, 314, 429, 429, 999
11 227, 314, 143, 143, 333
13 227, 314, 13, 13, 333
227, 314, 1, 1, 333

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

2 x 3 x 11 x 13 x 227 x 314 x 1 x 1 x 333 = 20365122492

Therefore, the lowest common multiple of 454,628,858,429,999 is 20365122492.

LCM Formula to Find Lowest Common Multiple of 454,628,858,429,999

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.

454 x 628 x 858 x 429 x 999 = 104839650588816

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.

454 : 1, 2, 227, 454

628 : 1, 2, 4, 157, 314, 628

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

429 : 1, 3, 11, 13, 33, 39, 143, 429

999 : 1, 3, 9, 27, 37, 111, 333, 999

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,628,858,429,999, is 1.

Now, the common factors can be found like this.

454:2x 227

628:2x 2x 157

858:2x 3x 11x 13

429:3x 11x 13

999:3x 3x 3x 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 3x 3x 11x 13 = 5148

Therefore, the value for common factors is 5148.

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 = 104839650588816/(1x5148)

LCM = 104839650588816/5148

LCM = 20365122492

Thus, we can understand that the LCM of 454,628,858,429,999 is 20365122492.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 454, 628, 858, 429, 999

1. What is the LCM of 454, 628, 858, 429, 999?

Answer: LCM of 454, 628, 858, 429, 999 is 20365122492.

2. How to calculate the LCM of 454, 628, 858, 429, 999?

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 454, 628, 858, 429, 999.

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}.