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LCM of 905, 753, 191, 649, 531

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


Find the LCM of 905, 753, 191, 649, 531 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 905, 753, 191, 649, 531. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 905,753,191,649,531

Given numbers are 905,753,191,649,531

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

The LCM of 905,753,191,649,531 is 253421159805.

Find LCM of 905,753,191,649,531 with Prime Factorization


3 905, 753, 191, 649, 531
59 905, 251, 191, 649, 177
905, 251, 191, 11, 3

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

3 x 59 x 905 x 251 x 191 x 11 x 3 = 253421159805

Therefore, the lowest common multiple of 905,753,191,649,531 is 253421159805.

LCM Formula to Find Lowest Common Multiple of 905,753,191,649,531

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.

905 x 753 x 191 x 649 x 531 = 44855545285485

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.

905 : 1, 5, 181, 905

753 : 1, 3, 251, 753

191 : 1, 191

649 : 1, 11, 59, 649

531 : 1, 3, 9, 59, 177, 531

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,753,191,649,531, is 1.

Now, the common factors can be found like this.

905:5x 181

753:3x 251

191:191

649:11x 59

531:3x 3x 59

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

3x 59 = 177

Therefore, the value for common factors is 177.

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 = 44855545285485/(1x177)

LCM = 44855545285485/177

LCM = 253421159805

Thus, we can understand that the LCM of 905,753,191,649,531 is 253421159805.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 905, 753, 191, 649, 531

1. What is the LCM of 905, 753, 191, 649, 531?

Answer: LCM of 905, 753, 191, 649, 531 is 253421159805.

2. How to calculate the LCM of 905, 753, 191, 649, 531?

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 905, 753, 191, 649, 531.

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}.