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LCM of 389, 775, 589, 611, 732

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


Find the LCM of 389, 775, 589, 611, 732 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 389, 775, 589, 611, 732. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 389,775,589,611,732

Given numbers are 389,775,589,611,732

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

The LCM of 389,775,589,611,732 is 2561870637300.

Find LCM of 389,775,589,611,732 with Prime Factorization


31 389, 775, 589, 611, 732
389, 25, 19, 611, 732

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

31 x 389 x 25 x 19 x 611 x 732 = 2561870637300

Therefore, the lowest common multiple of 389,775,589,611,732 is 2561870637300.

LCM Formula to Find Lowest Common Multiple of 389,775,589,611,732

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.

389 x 775 x 589 x 611 x 732 = 79417989756300

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.

389 : 1, 389

775 : 1, 5, 25, 31, 155, 775

589 : 1, 19, 31, 589

611 : 1, 13, 47, 611

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,775,589,611,732, is 1.

Now, the common factors can be found like this.

389:389

775:5x 5x 31

589:19x 31

611:13x 47

732:2x 2x 3x 61

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

31 = 31

Therefore, the value for common factors is 31.

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 = 79417989756300/(1x31)

LCM = 79417989756300/31

LCM = 2561870637300

Thus, we can understand that the LCM of 389,775,589,611,732 is 2561870637300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 389, 775, 589, 611, 732

1. What is the LCM of 389, 775, 589, 611, 732?

Answer: LCM of 389, 775, 589, 611, 732 is 2561870637300.

2. How to calculate the LCM of 389, 775, 589, 611, 732?

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 389, 775, 589, 611, 732.

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}.