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LCM of 487, 693, 539, 491

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


Find the LCM of 487, 693, 539, 491 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 487, 693, 539, 491. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,693,539,491

Given numbers are 487,693,539,491

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

The LCM of 487,693,539,491 is 1159956567.

Find LCM of 487,693,539,491 with Prime Factorization


7 487, 693, 539, 491
11 487, 99, 77, 491
487, 9, 7, 491

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

7 x 11 x 487 x 9 x 7 x 491 = 1159956567

Therefore, the lowest common multiple of 487,693,539,491 is 1159956567.

LCM Formula to Find Lowest Common Multiple of 487,693,539,491

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.

487 x 693 x 539 x 491 = 89316655659

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.

487 : 1, 487

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

539 : 1, 7, 11, 49, 77, 539

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,693,539,491, is 1.

Now, the common factors can be found like this.

487:487

693:3x 3x 7x 11

539:7x 7x 11

491:491

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

7x 11 = 77

Therefore, the value for common factors is 77.

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 = 89316655659/(1x77)

LCM = 89316655659/77

LCM = 1159956567

Thus, we can understand that the LCM of 487,693,539,491 is 1159956567.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 693, 539, 491

1. What is the LCM of 487, 693, 539, 491?

Answer: LCM of 487, 693, 539, 491 is 1159956567.

2. How to calculate the LCM of 487, 693, 539, 491?

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 487, 693, 539, 491.

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}.