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LCM of 235, 987, 509, 493, 413

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


Find the LCM of 235, 987, 509, 493, 413 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 235, 987, 509, 493, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,987,509,493,413

Given numbers are 235,987,509,493,413

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

The LCM of 235,987,509,493,413 is 73064071605.

Find LCM of 235,987,509,493,413 with Prime Factorization


7 235, 987, 509, 493, 413
47 235, 141, 509, 493, 59
5, 3, 509, 493, 59

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

7 x 47 x 5 x 3 x 509 x 493 x 59 = 73064071605

Therefore, the lowest common multiple of 235,987,509,493,413 is 73064071605.

LCM Formula to Find Lowest Common Multiple of 235,987,509,493,413

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.

235 x 987 x 509 x 493 x 413 = 24038079558045

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.

235 : 1, 5, 47, 235

987 : 1, 3, 7, 21, 47, 141, 329, 987

509 : 1, 509

493 : 1, 17, 29, 493

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,987,509,493,413, is 1.

Now, the common factors can be found like this.

235:5x 47

987:3x 7x 47

509:509

493:17x 29

413:7x 59

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

7x 47 = 329

Therefore, the value for common factors is 329.

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 = 24038079558045/(1x329)

LCM = 24038079558045/329

LCM = 73064071605

Thus, we can understand that the LCM of 235,987,509,493,413 is 73064071605.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 987, 509, 493, 413

1. What is the LCM of 235, 987, 509, 493, 413?

Answer: LCM of 235, 987, 509, 493, 413 is 73064071605.

2. How to calculate the LCM of 235, 987, 509, 493, 413?

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 235, 987, 509, 493, 413.

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}.