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LCM of 246, 726, 946, 801, 509

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


Find the LCM of 246, 726, 946, 801, 509 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 246, 726, 946, 801, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 246,726,946,801,509

Given numbers are 246,726,946,801,509

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

The LCM of 246,726,946,801,509 is 173947414014.

Find LCM of 246,726,946,801,509 with Prime Factorization


2 246, 726, 946, 801, 509
3 123, 363, 473, 801, 509
11 41, 121, 473, 267, 509
41, 11, 43, 267, 509

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

2 x 3 x 11 x 41 x 11 x 43 x 267 x 509 = 173947414014

Therefore, the lowest common multiple of 246,726,946,801,509 is 173947414014.

LCM Formula to Find Lowest Common Multiple of 246,726,946,801,509

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.

246 x 726 x 946 x 801 x 509 = 68883175949544

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.

246 : 1, 2, 3, 6, 41, 82, 123, 246

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

946 : 1, 2, 11, 22, 43, 86, 473, 946

801 : 1, 3, 9, 89, 267, 801

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,726,946,801,509, is 1.

Now, the common factors can be found like this.

246:2x 3x 41

726:2x 3x 11x 11

946:2x 11x 43

801:3x 3x 89

509:509

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

2x 2x 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 68883175949544/(1x396)

LCM = 68883175949544/396

LCM = 173947414014

Thus, we can understand that the LCM of 246,726,946,801,509 is 173947414014.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 246, 726, 946, 801, 509

1. What is the LCM of 246, 726, 946, 801, 509?

Answer: LCM of 246, 726, 946, 801, 509 is 173947414014.

2. How to calculate the LCM of 246, 726, 946, 801, 509?

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 246, 726, 946, 801, 509.

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}.