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LCM of 767, 589, 190, 361, 376

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


Find the LCM of 767, 589, 190, 361, 376 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 767, 589, 190, 361, 376. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,589,190,361,376

Given numbers are 767,589,190,361,376

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

The LCM of 767,589,190,361,376 is 16136974360.

Find LCM of 767,589,190,361,376 with Prime Factorization


2 767, 589, 190, 361, 376
19 767, 589, 95, 361, 188
767, 31, 5, 19, 188

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

2 x 19 x 767 x 31 x 5 x 19 x 188 = 16136974360

Therefore, the lowest common multiple of 767,589,190,361,376 is 16136974360.

LCM Formula to Find Lowest Common Multiple of 767,589,190,361,376

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.

767 x 589 x 190 x 361 x 376 = 11650895487920

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.

767 : 1, 13, 59, 767

589 : 1, 19, 31, 589

190 : 1, 2, 5, 10, 19, 38, 95, 190

361 : 1, 19, 361

376 : 1, 2, 4, 8, 47, 94, 188, 376

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,589,190,361,376, is 1.

Now, the common factors can be found like this.

767:13x 59

589:19x 31

190:2x 5x 19

361:19x 19

376:2x 2x 2x 47

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

2x 19x 19 = 722

Therefore, the value for common factors is 722.

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 = 11650895487920/(1x722)

LCM = 11650895487920/722

LCM = 16136974360

Thus, we can understand that the LCM of 767,589,190,361,376 is 16136974360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 589, 190, 361, 376

1. What is the LCM of 767, 589, 190, 361, 376?

Answer: LCM of 767, 589, 190, 361, 376 is 16136974360.

2. How to calculate the LCM of 767, 589, 190, 361, 376?

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 767, 589, 190, 361, 376.

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}.