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LCM of 538, 940, 376, 704

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


Find the LCM of 538, 940, 376, 704 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 538, 940, 376, 704. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,940,376,704

Given numbers are 538,940,376,704

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

The LCM of 538,940,376,704 is 44503360.

Find LCM of 538,940,376,704 with Prime Factorization


2 538, 940, 376, 704
2 269, 470, 188, 352
2 269, 235, 94, 176
47 269, 235, 47, 88
269, 5, 1, 88

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

2 x 2 x 2 x 47 x 269 x 5 x 1 x 88 = 44503360

Therefore, the lowest common multiple of 538,940,376,704 is 44503360.

LCM Formula to Find Lowest Common Multiple of 538,940,376,704

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.

538 x 940 x 376 x 704 = 133866106880

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.

538 : 1, 2, 269, 538

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

376 : 1, 2, 4, 8, 47, 94, 188, 376

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,940,376,704, is 2.

Now, the common factors can be found like this.

538:2x 269

940:2x 2x 5x 47

376:2x 2x 2x 47

704:2x 2x 2x 2x 2x 2x 11

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 47 = 1504

Therefore, the value for common factors is 1504.

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 = 133866106880/(2x1504)

LCM = 133866106880/3008

LCM = 44503360

Thus, we can understand that the LCM of 538,940,376,704 is 44503360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 940, 376, 704

1. What is the LCM of 538, 940, 376, 704?

Answer: LCM of 538, 940, 376, 704 is 44503360.

2. How to calculate the LCM of 538, 940, 376, 704?

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 538, 940, 376, 704.

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}.