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LCM of 520, 960, 892, 856

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


Find the LCM of 520, 960, 892, 856 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, 960, 892, 856. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,960,892,856

Given numbers are 520,960,892,856

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

The LCM of 520,960,892,856 is 297785280.

Find LCM of 520,960,892,856 with Prime Factorization


2 520, 960, 892, 856
2 260, 480, 446, 428
2 130, 240, 223, 214
5 65, 120, 223, 107
13, 24, 223, 107

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

2 x 2 x 2 x 5 x 13 x 24 x 223 x 107 = 297785280

Therefore, the lowest common multiple of 520,960,892,856 is 297785280.

LCM Formula to Find Lowest Common Multiple of 520,960,892,856

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 960 x 892 x 856 = 381165158400

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

892 : 1, 2, 4, 223, 446, 892

856 : 1, 2, 4, 8, 107, 214, 428, 856

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,960,892,856, is 4.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

960:2x 2x 2x 2x 2x 2x 3x 5

892:2x 2x 223

856:2x 2x 2x 107

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 2x 2x 2x 5 = 320

Therefore, the value for common factors is 320.

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 = 381165158400/(4x320)

LCM = 381165158400/1280

LCM = 297785280

Thus, we can understand that the LCM of 520,960,892,856 is 297785280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 960, 892, 856

1. What is the LCM of 520, 960, 892, 856?

Answer: LCM of 520, 960, 892, 856 is 297785280.

2. How to calculate the LCM of 520, 960, 892, 856?

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, 960, 892, 856.

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}.