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LCM of 488, 265, 891, 782

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


Find the LCM of 488, 265, 891, 782 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 488, 265, 891, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,265,891,782

Given numbers are 488,265,891,782

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

The LCM of 488,265,891,782 is 45052630920.

Find LCM of 488,265,891,782 with Prime Factorization


2 488, 265, 891, 782
244, 265, 891, 391

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

2 x 244 x 265 x 891 x 391 = 45052630920

Therefore, the lowest common multiple of 488,265,891,782 is 45052630920.

LCM Formula to Find Lowest Common Multiple of 488,265,891,782

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.

488 x 265 x 891 x 782 = 90105261840

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

265 : 1, 5, 53, 265

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,265,891,782, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

265:5x 53

891:3x 3x 3x 3x 11

782:2x 17x 23

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

2 = 2

Therefore, the value for common factors is 2.

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 = 90105261840/(1x2)

LCM = 90105261840/2

LCM = 45052630920

Thus, we can understand that the LCM of 488,265,891,782 is 45052630920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 265, 891, 782

1. What is the LCM of 488, 265, 891, 782?

Answer: LCM of 488, 265, 891, 782 is 45052630920.

2. How to calculate the LCM of 488, 265, 891, 782?

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 488, 265, 891, 782.

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}.