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LCM of 246, 726, 446, 366

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


Find the LCM of 246, 726, 446, 366 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, 446, 366. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 246,726,446,366

Given numbers are 246,726,446,366

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

The LCM of 246,726,446,366 is 404906898.

Find LCM of 246,726,446,366 with Prime Factorization


2 246, 726, 446, 366
3 123, 363, 223, 183
41, 121, 223, 61

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

2 x 3 x 41 x 121 x 223 x 61 = 404906898

Therefore, the lowest common multiple of 246,726,446,366 is 404906898.

LCM Formula to Find Lowest Common Multiple of 246,726,446,366

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 446 x 366 = 29153296656

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

446 : 1, 2, 223, 446

366 : 1, 2, 3, 6, 61, 122, 183, 366

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 246,726,446,366, is 2.

Now, the common factors can be found like this.

246:2x 3x 41

726:2x 3x 11x 11

446:2x 223

366:2x 3x 61

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 3 = 36

Therefore, the value for common factors is 36.

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 = 29153296656/(2x36)

LCM = 29153296656/72

LCM = 404906898

Thus, we can understand that the LCM of 246,726,446,366 is 404906898.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 246, 726, 446, 366

1. What is the LCM of 246, 726, 446, 366?

Answer: LCM of 246, 726, 446, 366 is 404906898.

2. How to calculate the LCM of 246, 726, 446, 366?

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, 446, 366.

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}.