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LCM of 591, 960, 660, 763, 338

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


Find the LCM of 591, 960, 660, 763, 338 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 591, 960, 660, 763, 338. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,960,660,763,338

Given numbers are 591,960,660,763,338

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

The LCM of 591,960,660,763,338 is 268251023040.

Find LCM of 591,960,660,763,338 with Prime Factorization


2 591, 960, 660, 763, 338
2 591, 480, 330, 763, 169
3 591, 240, 165, 763, 169
5 197, 80, 55, 763, 169
197, 16, 11, 763, 169

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

2 x 2 x 3 x 5 x 197 x 16 x 11 x 763 x 169 = 268251023040

Therefore, the lowest common multiple of 591,960,660,763,338 is 268251023040.

LCM Formula to Find Lowest Common Multiple of 591,960,660,763,338

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.

591 x 960 x 660 x 763 x 338 = 96570368294400

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.

591 : 1, 3, 197, 591

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

763 : 1, 7, 109, 763

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,960,660,763,338, is 1.

Now, the common factors can be found like this.

591:3x 197

960:2x 2x 2x 2x 2x 2x 3x 5

660:2x 2x 3x 5x 11

763:7x 109

338:2x 13x 13

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

2x 2x 2x 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 96570368294400/(1x360)

LCM = 96570368294400/360

LCM = 268251023040

Thus, we can understand that the LCM of 591,960,660,763,338 is 268251023040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 960, 660, 763, 338

1. What is the LCM of 591, 960, 660, 763, 338?

Answer: LCM of 591, 960, 660, 763, 338 is 268251023040.

2. How to calculate the LCM of 591, 960, 660, 763, 338?

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 591, 960, 660, 763, 338.

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}.