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LCM of 520, 912, 924, 394

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


Find the LCM of 520, 912, 924, 394 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, 912, 924, 394. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 520,912,924,394

Given numbers are 520,912,924,394

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

The LCM of 520,912,924,394 is 899218320.

Find LCM of 520,912,924,394 with Prime Factorization


2 520, 912, 924, 394
2 260, 456, 462, 197
2 130, 228, 231, 197
3 65, 114, 231, 197
65, 38, 77, 197

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

2 x 2 x 2 x 3 x 65 x 38 x 77 x 197 = 899218320

Therefore, the lowest common multiple of 520,912,924,394 is 899218320.

LCM Formula to Find Lowest Common Multiple of 520,912,924,394

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 912 x 924 x 394 = 172649917440

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,912,924,394, is 2.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

912:2x 2x 2x 2x 3x 19

924:2x 2x 3x 7x 11

394:2x 197

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 3 = 96

Therefore, the value for common factors is 96.

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 = 172649917440/(2x96)

LCM = 172649917440/192

LCM = 899218320

Thus, we can understand that the LCM of 520,912,924,394 is 899218320.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 520, 912, 924, 394

1. What is the LCM of 520, 912, 924, 394?

Answer: LCM of 520, 912, 924, 394 is 899218320.

2. How to calculate the LCM of 520, 912, 924, 394?

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, 912, 924, 394.

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}.