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LCM of 920, 285, 247, 715, 813

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


Find the LCM of 920, 285, 247, 715, 813 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 920, 285, 247, 715, 813. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 920,285,247,715,813

Given numbers are 920,285,247,715,813

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

The LCM of 920,285,247,715,813 is 2032207320.

Find LCM of 920,285,247,715,813 with Prime Factorization


3 920, 285, 247, 715, 813
5 920, 95, 247, 715, 271
13 184, 19, 247, 143, 271
19 184, 19, 19, 11, 271
184, 1, 1, 11, 271

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

3 x 5 x 13 x 19 x 184 x 1 x 1 x 11 x 271 = 2032207320

Therefore, the lowest common multiple of 920,285,247,715,813 is 2032207320.

LCM Formula to Find Lowest Common Multiple of 920,285,247,715,813

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.

920 x 285 x 247 x 715 x 813 = 37646640603000

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

285 : 1, 3, 5, 15, 19, 57, 95, 285

247 : 1, 13, 19, 247

715 : 1, 5, 11, 13, 55, 65, 143, 715

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,285,247,715,813, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

285:3x 5x 19

247:13x 19

715:5x 11x 13

813:3x 271

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

3x 5x 5x 13x 19 = 18525

Therefore, the value for common factors is 18525.

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 = 37646640603000/(1x18525)

LCM = 37646640603000/18525

LCM = 2032207320

Thus, we can understand that the LCM of 920,285,247,715,813 is 2032207320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 920, 285, 247, 715, 813

1. What is the LCM of 920, 285, 247, 715, 813?

Answer: LCM of 920, 285, 247, 715, 813 is 2032207320.

2. How to calculate the LCM of 920, 285, 247, 715, 813?

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 920, 285, 247, 715, 813.

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}.