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LCM of 585, 121, 475, 635

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


Find the LCM of 585, 121, 475, 635 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 585, 121, 475, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 585,121,475,635

Given numbers are 585,121,475,635

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

The LCM of 585,121,475,635 is 854021025.

Find LCM of 585,121,475,635 with Prime Factorization


5 585, 121, 475, 635
117, 121, 95, 127

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

5 x 117 x 121 x 95 x 127 = 854021025

Therefore, the lowest common multiple of 585,121,475,635 is 854021025.

LCM Formula to Find Lowest Common Multiple of 585,121,475,635

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.

585 x 121 x 475 x 635 = 21350525625

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

121 : 1, 11, 121

475 : 1, 5, 19, 25, 95, 475

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,121,475,635, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

121:11x 11

475:5x 5x 19

635:5x 127

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

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 21350525625/(1x25)

LCM = 21350525625/25

LCM = 854021025

Thus, we can understand that the LCM of 585,121,475,635 is 854021025.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 585, 121, 475, 635

1. What is the LCM of 585, 121, 475, 635?

Answer: LCM of 585, 121, 475, 635 is 854021025.

2. How to calculate the LCM of 585, 121, 475, 635?

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 585, 121, 475, 635.

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}.