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LCM of 334, 217, 925, 999, 994

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


Find the LCM of 334, 217, 925, 999, 994 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 334, 217, 925, 999, 994. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,217,925,999,994

Given numbers are 334,217,925,999,994

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

The LCM of 334,217,925,999,994 is 128519801550.

Find LCM of 334,217,925,999,994 with Prime Factorization


2 334, 217, 925, 999, 994
7 167, 217, 925, 999, 497
37 167, 31, 925, 999, 71
167, 31, 25, 27, 71

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

2 x 7 x 37 x 167 x 31 x 25 x 27 x 71 = 128519801550

Therefore, the lowest common multiple of 334,217,925,999,994 is 128519801550.

LCM Formula to Find Lowest Common Multiple of 334,217,925,999,994

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.

334 x 217 x 925 x 999 x 994 = 66573257202900

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.

334 : 1, 2, 167, 334

217 : 1, 7, 31, 217

925 : 1, 5, 25, 37, 185, 925

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

994 : 1, 2, 7, 14, 71, 142, 497, 994

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,217,925,999,994, is 1.

Now, the common factors can be found like this.

334:2x 167

217:7x 31

925:5x 5x 37

999:3x 3x 3x 37

994:2x 7x 71

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

2x 7x 37 = 518

Therefore, the value for common factors is 518.

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 = 66573257202900/(1x518)

LCM = 66573257202900/518

LCM = 128519801550

Thus, we can understand that the LCM of 334,217,925,999,994 is 128519801550.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 217, 925, 999, 994

1. What is the LCM of 334, 217, 925, 999, 994?

Answer: LCM of 334, 217, 925, 999, 994 is 128519801550.

2. How to calculate the LCM of 334, 217, 925, 999, 994?

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 334, 217, 925, 999, 994.

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}.