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LCM of 531, 906, 755

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


Find the LCM of 531, 906, 755 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 531, 906, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 531,906,755

Given numbers are 531,906,755

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

The LCM of 531,906,755 is 801810.

Find LCM of 531,906,755 with Prime Factorization


3 531, 906, 755
151 177, 302, 755
177, 2, 5

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

3 x 151 x 177 x 2 x 5 = 801810

Therefore, the lowest common multiple of 531,906,755 is 801810.

LCM Formula to Find Lowest Common Multiple of 531,906,755

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.

531 x 906 x 755 = 363219930

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.

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

906 : 1, 2, 3, 6, 151, 302, 453, 906

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 531,906,755, is 1.

Now, the common factors can be found like this.

531:3x 3x 59

906:2x 3x 151

755:5x 151

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

3x 151 = 453

Therefore, the value for common factors is 453.

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 = 363219930/(1x453)

LCM = 363219930/453

LCM = 801810

Thus, we can understand that the LCM of 531,906,755 is 801810.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 531, 906, 755

1. What is the LCM of 531, 906, 755?

Answer: LCM of 531, 906, 755 is 801810.

2. How to calculate the LCM of 531, 906, 755?

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 531, 906, 755.

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}.