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LCM of 592, 714, 999, 935

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


Find the LCM of 592, 714, 999, 935 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 592, 714, 999, 935. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 592,714,999,935

Given numbers are 592,714,999,935

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

The LCM of 592,714,999,935 is 104615280.

Find LCM of 592,714,999,935 with Prime Factorization


2 592, 714, 999, 935
3 296, 357, 999, 935
17 296, 119, 333, 935
37 296, 7, 333, 55
8, 7, 9, 55

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

2 x 3 x 17 x 37 x 8 x 7 x 9 x 55 = 104615280

Therefore, the lowest common multiple of 592,714,999,935 is 104615280.

LCM Formula to Find Lowest Common Multiple of 592,714,999,935

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.

592 x 714 x 999 x 935 = 394818066720

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

999 : 1, 3, 9, 27, 37, 111, 333, 999

935 : 1, 5, 11, 17, 55, 85, 187, 935

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,714,999,935, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

714:2x 3x 7x 17

999:3x 3x 3x 37

935:5x 11x 17

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 37 = 3774

Therefore, the value for common factors is 3774.

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 = 394818066720/(1x3774)

LCM = 394818066720/3774

LCM = 104615280

Thus, we can understand that the LCM of 592,714,999,935 is 104615280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 592, 714, 999, 935

1. What is the LCM of 592, 714, 999, 935?

Answer: LCM of 592, 714, 999, 935 is 104615280.

2. How to calculate the LCM of 592, 714, 999, 935?

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 592, 714, 999, 935.

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}.