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LCM of 520, 859, 958, 909, 682

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


Find the LCM of 520, 859, 958, 909, 682 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, 859, 958, 909, 682. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,859,958,909,682

Given numbers are 520,859,958,909,682

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

The LCM of 520,859,958,909,682 is 66320880448680.

Find LCM of 520,859,958,909,682 with Prime Factorization


2 520, 859, 958, 909, 682
260, 859, 479, 909, 341

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

2 x 260 x 859 x 479 x 909 x 341 = 66320880448680

Therefore, the lowest common multiple of 520,859,958,909,682 is 66320880448680.

LCM Formula to Find Lowest Common Multiple of 520,859,958,909,682

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 859 x 958 x 909 x 682 = 265283521794720

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

859 : 1, 859

958 : 1, 2, 479, 958

909 : 1, 3, 9, 101, 303, 909

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,859,958,909,682, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

859:859

958:2x 479

909:3x 3x 101

682:2x 11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 265283521794720/(1x4)

LCM = 265283521794720/4

LCM = 66320880448680

Thus, we can understand that the LCM of 520,859,958,909,682 is 66320880448680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 859, 958, 909, 682

1. What is the LCM of 520, 859, 958, 909, 682?

Answer: LCM of 520, 859, 958, 909, 682 is 66320880448680.

2. How to calculate the LCM of 520, 859, 958, 909, 682?

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, 859, 958, 909, 682.

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}.