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LCM of 969, 570, 352, 799

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


Find the LCM of 969, 570, 352, 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 969, 570, 352, 799. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 969,570,352,799

Given numbers are 969,570,352,799

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

The LCM of 969,570,352,799 is 80155680.

Find LCM of 969,570,352,799 with Prime Factorization


2 969, 570, 352, 799
3 969, 285, 176, 799
17 323, 95, 176, 799
19 19, 95, 176, 47
1, 5, 176, 47

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

2 x 3 x 17 x 19 x 1 x 5 x 176 x 47 = 80155680

Therefore, the lowest common multiple of 969,570,352,799 is 80155680.

LCM Formula to Find Lowest Common Multiple of 969,570,352,799

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.

969 x 570 x 352 x 799 = 155341707840

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.

969 : 1, 3, 17, 19, 51, 57, 323, 969

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

799 : 1, 17, 47, 799

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 969,570,352,799, is 1.

Now, the common factors can be found like this.

969:3x 17x 19

570:2x 3x 5x 19

352:2x 2x 2x 2x 2x 11

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 3x 17x 19 = 1938

Therefore, the value for common factors is 1938.

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 = 155341707840/(1x1938)

LCM = 155341707840/1938

LCM = 80155680

Thus, we can understand that the LCM of 969,570,352,799 is 80155680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 969, 570, 352, 799

1. What is the LCM of 969, 570, 352, 799?

Answer: LCM of 969, 570, 352, 799 is 80155680.

2. How to calculate the LCM of 969, 570, 352, 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 969, 570, 352, 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}.