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LCM of 520, 797, 442, 874

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


Find the LCM of 520, 797, 442, 874 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 520, 797, 442, 874. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,797,442,874

Given numbers are 520,797,442,874

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

The LCM of 520,797,442,874 is 3078874760.

Find LCM of 520,797,442,874 with Prime Factorization


2 520, 797, 442, 874
13 260, 797, 221, 437
20, 797, 17, 437

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

2 x 13 x 20 x 797 x 17 x 437 = 3078874760

Therefore, the lowest common multiple of 520,797,442,874 is 3078874760.

LCM Formula to Find Lowest Common Multiple of 520,797,442,874

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.

520 x 797 x 442 x 874 = 160101487520

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

797 : 1, 797

442 : 1, 2, 13, 17, 26, 34, 221, 442

874 : 1, 2, 19, 23, 38, 46, 437, 874

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,797,442,874, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

797:797

442:2x 13x 17

874:2x 19x 23

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 13 = 52

Therefore, the value for common factors is 52.

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 = 160101487520/(1x52)

LCM = 160101487520/52

LCM = 3078874760

Thus, we can understand that the LCM of 520,797,442,874 is 3078874760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 797, 442, 874

1. What is the LCM of 520, 797, 442, 874?

Answer: LCM of 520, 797, 442, 874 is 3078874760.

2. How to calculate the LCM of 520, 797, 442, 874?

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 520, 797, 442, 874.

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}.