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LCM of 328, 503, 741, 697

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


Find the LCM of 328, 503, 741, 697 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 328, 503, 741, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 328,503,741,697

Given numbers are 328,503,741,697

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

The LCM of 328,503,741,697 is 2078303448.

Find LCM of 328,503,741,697 with Prime Factorization


41 328, 503, 741, 697
8, 503, 741, 17

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

41 x 8 x 503 x 741 x 17 = 2078303448

Therefore, the lowest common multiple of 328,503,741,697 is 2078303448.

LCM Formula to Find Lowest Common Multiple of 328,503,741,697

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.

328 x 503 x 741 x 697 = 85210441368

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.

328 : 1, 2, 4, 8, 41, 82, 164, 328

503 : 1, 503

741 : 1, 3, 13, 19, 39, 57, 247, 741

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 328,503,741,697, is 1.

Now, the common factors can be found like this.

328:2x 2x 2x 41

503:503

741:3x 13x 19

697:17x 41

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

41 = 41

Therefore, the value for common factors is 41.

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 = 85210441368/(1x41)

LCM = 85210441368/41

LCM = 2078303448

Thus, we can understand that the LCM of 328,503,741,697 is 2078303448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 328, 503, 741, 697

1. What is the LCM of 328, 503, 741, 697?

Answer: LCM of 328, 503, 741, 697 is 2078303448.

2. How to calculate the LCM of 328, 503, 741, 697?

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 328, 503, 741, 697.

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}.