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LCM of 625, 779, 361, 993

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


Find the LCM of 625, 779, 361, 993 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 625, 779, 361, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,779,361,993

Given numbers are 625,779,361,993

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

The LCM of 625,779,361,993 is 9185870625.

Find LCM of 625,779,361,993 with Prime Factorization


19 625, 779, 361, 993
625, 41, 19, 993

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

19 x 625 x 41 x 19 x 993 = 9185870625

Therefore, the lowest common multiple of 625,779,361,993 is 9185870625.

LCM Formula to Find Lowest Common Multiple of 625,779,361,993

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.

625 x 779 x 361 x 993 = 174531541875

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.

625 : 1, 5, 25, 125, 625

779 : 1, 19, 41, 779

361 : 1, 19, 361

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,779,361,993, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

779:19x 41

361:19x 19

993:3x 331

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

19 = 19

Therefore, the value for common factors is 19.

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 = 174531541875/(1x19)

LCM = 174531541875/19

LCM = 9185870625

Thus, we can understand that the LCM of 625,779,361,993 is 9185870625.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 779, 361, 993

1. What is the LCM of 625, 779, 361, 993?

Answer: LCM of 625, 779, 361, 993 is 9185870625.

2. How to calculate the LCM of 625, 779, 361, 993?

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 625, 779, 361, 993.

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}.