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LCM of 891, 771, 660, 437, 592

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


Find the LCM of 891, 771, 660, 437, 592 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 891, 771, 660, 437, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 891,771,660,437,592

Given numbers are 891,771,660,437,592

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

The LCM of 891,771,660,437,592 is 296199264240.

Find LCM of 891,771,660,437,592 with Prime Factorization


2 891, 771, 660, 437, 592
2 891, 771, 330, 437, 296
3 891, 771, 165, 437, 148
11 297, 257, 55, 437, 148
27, 257, 5, 437, 148

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

2 x 2 x 3 x 11 x 27 x 257 x 5 x 437 x 148 = 296199264240

Therefore, the lowest common multiple of 891,771,660,437,592 is 296199264240.

LCM Formula to Find Lowest Common Multiple of 891,771,660,437,592

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.

891 x 771 x 660 x 437 x 592 = 117294908639040

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.

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

771 : 1, 3, 257, 771

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

437 : 1, 19, 23, 437

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 891,771,660,437,592, is 1.

Now, the common factors can be found like this.

891:3x 3x 3x 3x 11

771:3x 257

660:2x 2x 3x 5x 11

437:19x 23

592:2x 2x 2x 2x 37

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 117294908639040/(1x396)

LCM = 117294908639040/396

LCM = 296199264240

Thus, we can understand that the LCM of 891,771,660,437,592 is 296199264240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 891, 771, 660, 437, 592

1. What is the LCM of 891, 771, 660, 437, 592?

Answer: LCM of 891, 771, 660, 437, 592 is 296199264240.

2. How to calculate the LCM of 891, 771, 660, 437, 592?

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 891, 771, 660, 437, 592.

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}.