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LCM of 590, 413, 153, 652

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


Find the LCM of 590, 413, 153, 652 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 590, 413, 153, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,413,153,652

Given numbers are 590,413,153,652

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

The LCM of 590,413,153,652 is 205996140.

Find LCM of 590,413,153,652 with Prime Factorization


2 590, 413, 153, 652
59 295, 413, 153, 326
5, 7, 153, 326

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

2 x 59 x 5 x 7 x 153 x 326 = 205996140

Therefore, the lowest common multiple of 590,413,153,652 is 205996140.

LCM Formula to Find Lowest Common Multiple of 590,413,153,652

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.

590 x 413 x 153 x 652 = 24307544520

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

413 : 1, 7, 59, 413

153 : 1, 3, 9, 17, 51, 153

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,413,153,652, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

413:7x 59

153:3x 3x 17

652:2x 2x 163

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

2x 59 = 118

Therefore, the value for common factors is 118.

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 = 24307544520/(1x118)

LCM = 24307544520/118

LCM = 205996140

Thus, we can understand that the LCM of 590,413,153,652 is 205996140.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 413, 153, 652

1. What is the LCM of 590, 413, 153, 652?

Answer: LCM of 590, 413, 153, 652 is 205996140.

2. How to calculate the LCM of 590, 413, 153, 652?

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 590, 413, 153, 652.

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}.