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LCM of 505, 813, 879, 930

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


Find the LCM of 505, 813, 879, 930 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 505, 813, 879, 930. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 505,813,879,930

Given numbers are 505,813,879,930

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

The LCM of 505,813,879,930 is 7458323790.

Find LCM of 505,813,879,930 with Prime Factorization


3 505, 813, 879, 930
5 505, 271, 293, 310
101, 271, 293, 62

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

3 x 5 x 101 x 271 x 293 x 62 = 7458323790

Therefore, the lowest common multiple of 505,813,879,930 is 7458323790.

LCM Formula to Find Lowest Common Multiple of 505,813,879,930

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.

505 x 813 x 879 x 930 = 335624570550

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.

505 : 1, 5, 101, 505

813 : 1, 3, 271, 813

879 : 1, 3, 293, 879

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,813,879,930, is 1.

Now, the common factors can be found like this.

505:5x 101

813:3x 271

879:3x 293

930:2x 3x 5x 31

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

3x 3x 5 = 45

Therefore, the value for common factors is 45.

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 = 335624570550/(1x45)

LCM = 335624570550/45

LCM = 7458323790

Thus, we can understand that the LCM of 505,813,879,930 is 7458323790.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 505, 813, 879, 930

1. What is the LCM of 505, 813, 879, 930?

Answer: LCM of 505, 813, 879, 930 is 7458323790.

2. How to calculate the LCM of 505, 813, 879, 930?

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 505, 813, 879, 930.

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}.