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LCM of 901, 904, 529, 218, 214

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


Find the LCM of 901, 904, 529, 218, 214 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 901, 904, 529, 218, 214. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,904,529,218,214

Given numbers are 901,904,529,218,214

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

The LCM of 901,904,529,218,214 is 5025267320408.

Find LCM of 901,904,529,218,214 with Prime Factorization


2 901, 904, 529, 218, 214
901, 452, 529, 109, 107

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

2 x 901 x 452 x 529 x 109 x 107 = 5025267320408

Therefore, the lowest common multiple of 901,904,529,218,214 is 5025267320408.

LCM Formula to Find Lowest Common Multiple of 901,904,529,218,214

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.

901 x 904 x 529 x 218 x 214 = 20101069281632

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.

901 : 1, 17, 53, 901

904 : 1, 2, 4, 8, 113, 226, 452, 904

529 : 1, 23, 529

218 : 1, 2, 109, 218

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,904,529,218,214, is 1.

Now, the common factors can be found like this.

901:17x 53

904:2x 2x 2x 113

529:23x 23

218:2x 109

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 20101069281632/(1x4)

LCM = 20101069281632/4

LCM = 5025267320408

Thus, we can understand that the LCM of 901,904,529,218,214 is 5025267320408.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 904, 529, 218, 214

1. What is the LCM of 901, 904, 529, 218, 214?

Answer: LCM of 901, 904, 529, 218, 214 is 5025267320408.

2. How to calculate the LCM of 901, 904, 529, 218, 214?

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 901, 904, 529, 218, 214.

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}.