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LCM of 319, 517, 473, 627, 589

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


Find the LCM of 319, 517, 473, 627, 589 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 319, 517, 473, 627, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,517,473,627,589

Given numbers are 319,517,473,627,589

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

The LCM of 319,517,473,627,589 is 1139183133.

Find LCM of 319,517,473,627,589 with Prime Factorization


11 319, 517, 473, 627, 589
19 29, 47, 43, 57, 589
29, 47, 43, 3, 31

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

11 x 19 x 29 x 47 x 43 x 3 x 31 = 1139183133

Therefore, the lowest common multiple of 319,517,473,627,589 is 1139183133.

LCM Formula to Find Lowest Common Multiple of 319,517,473,627,589

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.

319 x 517 x 473 x 627 x 589 = 28808802250437

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.

319 : 1, 11, 29, 319

517 : 1, 11, 47, 517

473 : 1, 11, 43, 473

627 : 1, 3, 11, 19, 33, 57, 209, 627

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,517,473,627,589, is 1.

Now, the common factors can be found like this.

319:11x 29

517:11x 47

473:11x 43

627:3x 11x 19

589:19x 31

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

11x 11x 11x 19 = 25289

Therefore, the value for common factors is 25289.

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 = 28808802250437/(1x25289)

LCM = 28808802250437/25289

LCM = 1139183133

Thus, we can understand that the LCM of 319,517,473,627,589 is 1139183133.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 517, 473, 627, 589

1. What is the LCM of 319, 517, 473, 627, 589?

Answer: LCM of 319, 517, 473, 627, 589 is 1139183133.

2. How to calculate the LCM of 319, 517, 473, 627, 589?

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 319, 517, 473, 627, 589.

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}.