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LCM of 946, 906, 408, 799

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


Find the LCM of 946, 906, 408, 799 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 946, 906, 408, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 946,906,408,799

Given numbers are 946,906,408,799

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

The LCM of 946,906,408,799 is 1369607448.

Find LCM of 946,906,408,799 with Prime Factorization


2 946, 906, 408, 799
3 473, 453, 204, 799
17 473, 151, 68, 799
473, 151, 4, 47

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

2 x 3 x 17 x 473 x 151 x 4 x 47 = 1369607448

Therefore, the lowest common multiple of 946,906,408,799 is 1369607448.

LCM Formula to Find Lowest Common Multiple of 946,906,408,799

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.

946 x 906 x 408 x 799 = 279399919392

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.

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

906 : 1, 2, 3, 6, 151, 302, 453, 906

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 946,906,408,799, is 1.

Now, the common factors can be found like this.

946:2x 11x 43

906:2x 3x 151

408:2x 2x 2x 3x 17

799:17x 47

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 17 = 204

Therefore, the value for common factors is 204.

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 = 279399919392/(1x204)

LCM = 279399919392/204

LCM = 1369607448

Thus, we can understand that the LCM of 946,906,408,799 is 1369607448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 946, 906, 408, 799

1. What is the LCM of 946, 906, 408, 799?

Answer: LCM of 946, 906, 408, 799 is 1369607448.

2. How to calculate the LCM of 946, 906, 408, 799?

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 946, 906, 408, 799.

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}.