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LCM of 901, 159, 901, 845, 145

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


Find the LCM of 901, 159, 901, 845, 145 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, 159, 901, 845, 145. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,159,901,845,145

Given numbers are 901,159,901,845,145

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

The LCM of 901,159,901,845,145 is 66237015.

Find LCM of 901,159,901,845,145 with Prime Factorization


5 901, 159, 901, 845, 145
17 901, 159, 901, 169, 29
53 53, 159, 53, 169, 29
1, 3, 1, 169, 29

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

5 x 17 x 53 x 1 x 3 x 1 x 169 x 29 = 66237015

Therefore, the lowest common multiple of 901,159,901,845,145 is 66237015.

LCM Formula to Find Lowest Common Multiple of 901,159,901,845,145

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 159 x 901 x 845 x 145 = 15815080886475

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

159 : 1, 3, 53, 159

901 : 1, 17, 53, 901

845 : 1, 5, 13, 65, 169, 845

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,159,901,845,145, is 1.

Now, the common factors can be found like this.

901:17x 53

159:3x 53

901:17x 53

845:5x 13x 13

145:5x 29

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

5x 17x 53x 53 = 238765

Therefore, the value for common factors is 238765.

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 = 15815080886475/(1x238765)

LCM = 15815080886475/238765

LCM = 66237015

Thus, we can understand that the LCM of 901,159,901,845,145 is 66237015.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 159, 901, 845, 145

1. What is the LCM of 901, 159, 901, 845, 145?

Answer: LCM of 901, 159, 901, 845, 145 is 66237015.

2. How to calculate the LCM of 901, 159, 901, 845, 145?

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, 159, 901, 845, 145.

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}.