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LCM of 247, 897, 713, 753, 762

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


Find the LCM of 247, 897, 713, 753, 762 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 247, 897, 713, 753, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 247,897,713,753,762

Given numbers are 247,897,713,753,762

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

The LCM of 247,897,713,753,762 is 33683342082.

Find LCM of 247,897,713,753,762 with Prime Factorization


3 247, 897, 713, 753, 762
13 247, 299, 713, 251, 254
23 19, 23, 713, 251, 254
19, 1, 31, 251, 254

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

3 x 13 x 23 x 19 x 1 x 31 x 251 x 254 = 33683342082

Therefore, the lowest common multiple of 247,897,713,753,762 is 33683342082.

LCM Formula to Find Lowest Common Multiple of 247,897,713,753,762

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.

247 x 897 x 713 x 753 x 762 = 90641873542662

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.

247 : 1, 13, 19, 247

897 : 1, 3, 13, 23, 39, 69, 299, 897

713 : 1, 23, 31, 713

753 : 1, 3, 251, 753

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,897,713,753,762, is 1.

Now, the common factors can be found like this.

247:13x 19

897:3x 13x 23

713:23x 31

753:3x 251

762:2x 3x 127

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 13x 23 = 2691

Therefore, the value for common factors is 2691.

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 = 90641873542662/(1x2691)

LCM = 90641873542662/2691

LCM = 33683342082

Thus, we can understand that the LCM of 247,897,713,753,762 is 33683342082.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 247, 897, 713, 753, 762

1. What is the LCM of 247, 897, 713, 753, 762?

Answer: LCM of 247, 897, 713, 753, 762 is 33683342082.

2. How to calculate the LCM of 247, 897, 713, 753, 762?

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 247, 897, 713, 753, 762.

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}.