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LCM of 520, 864, 476, 736

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


Find the LCM of 520, 864, 476, 736 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, 864, 476, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,864,476,736

Given numbers are 520,864,476,736

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

The LCM of 520,864,476,736 is 153709920.

Find LCM of 520,864,476,736 with Prime Factorization


2 520, 864, 476, 736
2 260, 432, 238, 368
2 130, 216, 119, 184
2 65, 108, 119, 92
2 65, 54, 119, 46
65, 27, 119, 23

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

2 x 2 x 2 x 2 x 2 x 65 x 27 x 119 x 23 = 153709920

Therefore, the lowest common multiple of 520,864,476,736 is 153709920.

LCM Formula to Find Lowest Common Multiple of 520,864,476,736

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 864 x 476 x 736 = 157398958080

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,864,476,736, is 4.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

864:2x 2x 2x 2x 2x 3x 3x 3

476:2x 2x 7x 17

736:2x 2x 2x 2x 2x 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 2x 2x 2x 2x 2x 2 = 256

Therefore, the value for common factors is 256.

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 = 157398958080/(4x256)

LCM = 157398958080/1024

LCM = 153709920

Thus, we can understand that the LCM of 520,864,476,736 is 153709920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 864, 476, 736

1. What is the LCM of 520, 864, 476, 736?

Answer: LCM of 520, 864, 476, 736 is 153709920.

2. How to calculate the LCM of 520, 864, 476, 736?

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, 864, 476, 736.

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}.