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LCM of 788, 355, 259, 625

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


Find the LCM of 788, 355, 259, 625 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 788, 355, 259, 625. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,355,259,625

Given numbers are 788,355,259,625

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

The LCM of 788,355,259,625 is 9056582500.

Find LCM of 788,355,259,625 with Prime Factorization


5 788, 355, 259, 625
788, 71, 259, 125

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

5 x 788 x 71 x 259 x 125 = 9056582500

Therefore, the lowest common multiple of 788,355,259,625 is 9056582500.

LCM Formula to Find Lowest Common Multiple of 788,355,259,625

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.

788 x 355 x 259 x 625 = 45282912500

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.

788 : 1, 2, 4, 197, 394, 788

355 : 1, 5, 71, 355

259 : 1, 7, 37, 259

625 : 1, 5, 25, 125, 625

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 788,355,259,625, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

355:5x 71

259:7x 37

625:5x 5x 5x 5

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

5 = 5

Therefore, the value for common factors is 5.

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 = 45282912500/(1x5)

LCM = 45282912500/5

LCM = 9056582500

Thus, we can understand that the LCM of 788,355,259,625 is 9056582500.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 355, 259, 625

1. What is the LCM of 788, 355, 259, 625?

Answer: LCM of 788, 355, 259, 625 is 9056582500.

2. How to calculate the LCM of 788, 355, 259, 625?

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 788, 355, 259, 625.

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}.