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LCM of 901, 484, 451, 591

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


Find the LCM of 901, 484, 451, 591 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, 484, 451, 591. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,484,451,591

Given numbers are 901,484,451,591

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

The LCM of 901,484,451,591 is 10566751404.

Find LCM of 901,484,451,591 with Prime Factorization


11 901, 484, 451, 591
901, 44, 41, 591

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

11 x 901 x 44 x 41 x 591 = 10566751404

Therefore, the lowest common multiple of 901,484,451,591 is 10566751404.

LCM Formula to Find Lowest Common Multiple of 901,484,451,591

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 484 x 451 x 591 = 116234265444

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

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

451 : 1, 11, 41, 451

591 : 1, 3, 197, 591

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,484,451,591, is 1.

Now, the common factors can be found like this.

901:17x 53

484:2x 2x 11x 11

451:11x 41

591:3x 197

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

11 = 11

Therefore, the value for common factors is 11.

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 = 116234265444/(1x11)

LCM = 116234265444/11

LCM = 10566751404

Thus, we can understand that the LCM of 901,484,451,591 is 10566751404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 484, 451, 591

1. What is the LCM of 901, 484, 451, 591?

Answer: LCM of 901, 484, 451, 591 is 10566751404.

2. How to calculate the LCM of 901, 484, 451, 591?

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, 484, 451, 591.

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}.