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LCM of 591, 891, 290, 319, 950

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


Find the LCM of 591, 891, 290, 319, 950 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, 891, 290, 319, 950. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 591,891,290,319,950

Given numbers are 591,891,290,319,950

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

The LCM of 591,891,290,319,950 is 4835768850.

Find LCM of 591,891,290,319,950 with Prime Factorization


2 591, 891, 290, 319, 950
3 591, 891, 145, 319, 475
5 197, 297, 145, 319, 475
11 197, 297, 29, 319, 95
29 197, 27, 29, 29, 95
197, 27, 1, 1, 95

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

2 x 3 x 5 x 11 x 29 x 197 x 27 x 1 x 1 x 95 = 4835768850

Therefore, the lowest common multiple of 591,891,290,319,950 is 4835768850.

LCM Formula to Find Lowest Common Multiple of 591,891,290,319,950

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 891 x 290 x 319 x 950 = 46278307894500

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

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

319 : 1, 11, 29, 319

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,891,290,319,950, is 1.

Now, the common factors can be found like this.

591:3x 197

891:3x 3x 3x 3x 11

290:2x 5x 29

319:11x 29

950:2x 5x 5x 19

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

2x 3x 5x 11x 29 = 9570

Therefore, the value for common factors is 9570.

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 = 46278307894500/(1x9570)

LCM = 46278307894500/9570

LCM = 4835768850

Thus, we can understand that the LCM of 591,891,290,319,950 is 4835768850.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 591, 891, 290, 319, 950

1. What is the LCM of 591, 891, 290, 319, 950?

Answer: LCM of 591, 891, 290, 319, 950 is 4835768850.

2. How to calculate the LCM of 591, 891, 290, 319, 950?

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, 891, 290, 319, 950.

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}.