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LCM of 331, 335, 905, 604, 759

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


Find the LCM of 331, 335, 905, 604, 759 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 331, 335, 905, 604, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 331,335,905,604,759

Given numbers are 331,335,905,604,759

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

The LCM of 331,335,905,604,759 is 9200895330660.

Find LCM of 331,335,905,604,759 with Prime Factorization


5 331, 335, 905, 604, 759
331, 67, 181, 604, 759

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

5 x 331 x 67 x 181 x 604 x 759 = 9200895330660

Therefore, the lowest common multiple of 331,335,905,604,759 is 9200895330660.

LCM Formula to Find Lowest Common Multiple of 331,335,905,604,759

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.

331 x 335 x 905 x 604 x 759 = 46004476653300

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.

331 : 1, 331

335 : 1, 5, 67, 335

905 : 1, 5, 181, 905

604 : 1, 2, 4, 151, 302, 604

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,335,905,604,759, is 1.

Now, the common factors can be found like this.

331:331

335:5x 67

905:5x 181

604:2x 2x 151

759:3x 11x 23

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

5 = 5

Therefore, the value for common factors is 5.

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 = 46004476653300/(1x5)

LCM = 46004476653300/5

LCM = 9200895330660

Thus, we can understand that the LCM of 331,335,905,604,759 is 9200895330660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 331, 335, 905, 604, 759

1. What is the LCM of 331, 335, 905, 604, 759?

Answer: LCM of 331, 335, 905, 604, 759 is 9200895330660.

2. How to calculate the LCM of 331, 335, 905, 604, 759?

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 331, 335, 905, 604, 759.

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}.