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LCM of 966, 824, 420, 839, 799

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


Find the LCM of 966, 824, 420, 839, 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 966, 824, 420, 839, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 966,824,420,839,799

Given numbers are 966,824,420,839,799

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

The LCM of 966,824,420,839,799 is 1333991575560.

Find LCM of 966,824,420,839,799 with Prime Factorization


2 966, 824, 420, 839, 799
2 483, 412, 210, 839, 799
3 483, 206, 105, 839, 799
7 161, 206, 35, 839, 799
23, 206, 5, 839, 799

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

2 x 2 x 3 x 7 x 23 x 206 x 5 x 839 x 799 = 1333991575560

Therefore, the lowest common multiple of 966,824,420,839,799 is 1333991575560.

LCM Formula to Find Lowest Common Multiple of 966,824,420,839,799

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.

966 x 824 x 420 x 839 x 799 = 224110584694080

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.

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

824 : 1, 2, 4, 8, 103, 206, 412, 824

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

839 : 1, 839

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,824,420,839,799, is 1.

Now, the common factors can be found like this.

966:2x 3x 7x 23

824:2x 2x 2x 103

420:2x 2x 3x 5x 7

839:839

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 2x 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 224110584694080/(1x168)

LCM = 224110584694080/168

LCM = 1333991575560

Thus, we can understand that the LCM of 966,824,420,839,799 is 1333991575560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 966, 824, 420, 839, 799

1. What is the LCM of 966, 824, 420, 839, 799?

Answer: LCM of 966, 824, 420, 839, 799 is 1333991575560.

2. How to calculate the LCM of 966, 824, 420, 839, 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 966, 824, 420, 839, 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}.